stats 5.2
If calculations are time-consuming and if a sample size is no more than 5% of the size of the population, the _______ states to treat the selections as being independent (even if the selections are technically dependent).
5% Guideline for Cumbersome Calculations
A random sample of 100 candies contains 3 orange candies. Is this result unusual? Does it seem that the claimed rate of 10% is wrong?
D. Yes, because 3 is below the minimum usual value. Thus, the claimed rate of 10% is probably wrong.
The table to the right lists probabilities for the corresponding numbers of girls in three births. What is the random variable, what are its possible values, and are its values numerical?
HW 5.2 (1)
The accompanying table describes results from eight offspring peas. The random variable x represents the number of offspring peas with green pods. Complete parts (a) through (d).
HW 5.2 (10)
The accompanying table describes results of roadworthiness tests of cars that are 3 years old. The random variable x represents the numbers of cars that failed among six that were tested for roadworthiness. Find the mean and standard deviation for the number of cars that failed among the six cars that are tested.
HW 5.2 (11)
Based on data from a car bumper sticker study, when a car is randomly selected, the number of bumper stickers and the corresponding probabilities are as shown below. Complete parts (a) through (d).
HW 5.2 (12)
Assume that 12 jurors are selected from a population in which 50% of the people are Mexican-Americans. The random variable x is the number of Mexican-Americans on the jury.
HW 5.2 (13)
Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The exact time it takes to evaluate 27+72 b. The square footage of a house c. The political party affiliation of adults in the United States d. The amount of snowfall in December in City A e. The number of textbook authors now sitting at a computer f. The
HW 5.2 (2)
Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The number of light bulbs that burn out in the next year in a room with 20 bulbs b. The last book a person in City A read c. The number of pigeons in a country d. The height of a randomly selected person e. The exact time it takes to evaluate 67+29 f. The
HW 5.2 (3)
Five males with a particular genetic disorder have one child each. The random variable x is the number of children among the five who inherit the genetic disorder. Determine whether the table describes a probability distribution. If it does, find the mean and standard deviation.
HW 5.2 (4)
Ted is not particularly creative. He uses the pickup line "If I could rearrange the alphabet, I'd put U and I together." The random variable x is the number of girls Ted approaches before encountering one who reacts positively. Determine whether the table describes a probability distribution. If it does, find its mean and standard deviation.
HW 5.2 (5)
ed is not particularly creative. He uses the pickup line "If I could rearrange the alphabet, I'd put U and I together." The random variable x is the number of girls Ted approaches before encountering one who reacts positively. Determine whether the table describes a probability distribution. If it does, find its mean and standard deviation.
HW 5.2 (5)
In the accompanying table, the random variable x represents the number of televisions in a household in a certain country. Determine whether or not the table is a probability distribution. If it is a probability distribution, find its mean and standard deviation.
HW 5.2 (6)
Groups of people aged 15-65 are randomly selected and arranged in groups of six. In the accompanying table, the random variable x is the number in the group who say that their family and/or partner contribute most to their happiness (based on a survey).
HW 5.2 (7)
Let the random variable x represent the number of girls in a family with three children. Assume the probability of a child being a girl is 0.38. The table on the right describes the probability of having x number of girls. Determine whether the table describes a probability distribution. If it does, find the mean and standard deviation. Is it unusual for a family of three children to consist of three girls?
HW 5.2 (8)
The accompanying data table describes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. Complete the questions below.
HW 5.2 (9)
Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The amount of snowfall in December in City A b. The time it takes to fly from City A to City B c. The eye color of people on commercial aircraft flights d. The time it takes for a light bulb to burn out e. The time required to download a file from the Internet f. The s the exact time it takes to evaluate 27+72 a discrete random variable, a continuous random variable, or not a random variable?
HW 5.2 2 continuous random variable.
A brand name has a 40% recognition rate. Assume the owner of the brand wants to verify that rate by beginning with a small sample of 6 randomly selected consumers. Complete parts (a) through (d) below.
HW 5.3 (10)
Five peas are generated from parents having thegreen/yellow pair ofgenes, so there is a 0.75 probability that an individual pea will have a green pod. Find the probability that among the 5 offspringpeas, at least 4 have green pods. Is it unusual to get at least 4 peas with green pods when 5 offspring peas aregenerated? Why or whynot?
HW 5.3 (11)
Researchers conducted a study to determine whether there were significant differences in graduation rates between medical students admitted through special programs and medical students admitted through the regular admissions criteria. It was found that the graduation rate was 91% for the medical students admitted through special programs in all medical schools. Complete parts (a) and (b) below.
HW 5.3 (12)
A TV show, Lindsay and Tobias, recently had a share of 30, meaning that among the TV sets in use, 30% were tuned to that show. Assume that an advertiser wants to verify that 30% share value by conducting its own survey, and a pilot survey begins with 20 households having TV sets in use at the time of a Lindsay and Tobias broadcast.
HW 5.3 (13)
A certain TV show recently had a share of 70, meaning that among the TV sets in use, 70% were tuned to that show. Assume that an advertiser wants to verify that 70% share value by conducting its own survey, and a pilot survey begins with 10 households having TV sets in use at the time of the TV show broadcast. Complete parts (a) through (d) below.
HW 5.3 (14)
The probability of a randomly selected adult in one country being infected with a certain virus is 0.006. In tests for the virus, blood samples from 10 people are combined. What is the probability that the combined sample tests positive for the virus? Is it unlikely for such a combined sample to test positive? Note that the combined sample tests positive if at least one person has the virus.
HW 5.3 (15)
A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 20 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If a particular shipment of thousands of aspirin tablets actually has a 5% rate of defects, what is the probability that this whole shipment will be accepted?
HW 5.3 (16)
A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 26 tablets. The entire shipment is accepted if at most 2 tablets do not meet the required specifications. If a particular shipment of thousands of aspirin tablets actually has a 5.0% rate of defects, what is the probability that this whole shipment will be accepted?
HW 5.3 (17)
Multiple-choice questions each have five possible answers (a, b, c, d, e), one of which is correct. Assume that you guess the answers to three such questions.
HW 5.3 (5)
Assume that a procedure yields a binomial distribution with n=5 trials and a probability of success of p=0.10. Use a binomial probability table to find the probability that the number of successes x is exactly 2
HW 5.3 (6)
Assume that a procedure yields a binomial distribution with 6 trials and a probability of success of 0.60. Use a binomial probability table to find the probability that the number of successes is exactly 0.
HW 5.3 (7)
Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial.
HW 5.3 (8)
Refer to the accompanying technology display. The probabilities were obtained by entering the values of n=5 and p=0.732. In a clinical test of a drug, 73.2% of the subjects treated with 10 mg of the drug experienced headaches. In each case, assume that 5 subjects are randomly selected and treated with 10 mg of the drug. Find the probability that at least four of the subjects experience headaches. Is it unusual to have fewer than four subjects experience headaches?
HW 5.3 (9)
In a clinical trial of a cholesterol drug, 497 subjects were given a placebo, and 16% of them developed headaches. For such randomly selected groups of 497 subjects given a placebo, identify the values of n, p, and q that would be used for finding the mean and standard deviation for the number of subjects who develop headaches.
HW 5.4 (1)
In a past election, the voter turnout was 75%. In a survey, 991 subjects were asked if they voted in the election. a. Find the mean and standard deviation for the numbers of voters in groups of 991. b. In the survey of 991 people, 705 said that they voted in the election. Is this result consistent with the turnout, or is this result unlikely to occur with a turnout of 75%? Why or why not? c. Based on these results, does it appear that accurate voting results can be obtained by asking voters how they acted?
HW 5.4 (10)
If a gambler places a bet on the number 7 in roulette, he or she has a 1/38 probability of winning. a. Find the mean and standard deviation for the number of wins of gamblers who bet on the number 7 two hundred and forty times. b. Would 0 wins in two hundred and forty bets be an unusually low number of wins?
HW 5.4 (11)
a. For classes of 176 students, find the mean and standard deviation for the number born on the 4th of July. Ignore leap years. b. For a class of 176 students, would two be an unusually high number who were born on the 4th of July?
HW 5.4 (12)
Assume that a procedure yields a binomial distribution with n trials and the probability of success for one trial is p. Use the given values of n and p to find the mean μ and standard deviation σ. Also, use the range rule of thumb to find the minimum usual value μ−2σ and the maximum usual value μ+2σ.
HW 5.4 (2)
Assume that the given procedure yields a binomial distribution with n trials and the probability of success for one trial is p. Use the given values of n and p to find the mean μ and standard deviation σ. Also, use the range rule of thumb to find the minimum usual value μ−2σ and the maximum usual value μ+2σ. In an analysis of preliminary test results from a gender-selection method, 35 babies are born and it is assumed that 50% of babies are girls, so n=35 and p=0.5.
HW 5.4 (3)
Assume that a procedure yields a binomial distribution with n trials and the probability of success for one trial is p. Use the given values of n and p to find the mean μ and standard deviation σ. Also, use the range rule of thumb to find the minimum usual value μ−2σ and the maximum usual value μ+2σ.
HW 5.4 (4)
Several psychology students are unprepared for a surprise true/false test with 20 questions, and all of their answers are guesses. a. Find the mean and standard deviation for the number of correct answers for such students. b. Would it be unusual for a student to pass by guessing (which requires getting at least 16 correct answers)? Why or why not?
HW 5.4 (5)
A candy company claims that 12% of its plain candies are orange, and a sample of 200 such candies is randomly selected.
HW 5.4 (6)
A headline in a certain newspaper states that "most stay at first job less than 2 years." That headline is based on an online poll of 280 college graduates. Among those polled, 75% stayed at their first full-time job less than 2 years. Complete parts (a) through (d).
HW 5.4 (7)
In a clinical trial of a drug used to help subjects stop smoking, 832 subjects were treated with 1 mg doses of the drug. That group consisted of 49 subjects who experienced nausea. The probability of nausea for subjects not receiving the treatment was 0.0092. Complete parts (a) through (c).
HW 5.4 (8)
A government agency has specialists who analyze the frequencies of letters of the alphabet in an attempt to decipher intercepted messages. In standard English text, a particular letter is used at a rate of 7.4%.
HW 5.4 (9)
Does it appear that accurate voting results can be obtained by asking voters how they acted?
Is it unusual to randomly select peas and find that of them have a green pod? Note that a small probability is one that is less than 0.05.
Is it unlikely for such a combined sample to test positive?
It is not unlikely for such a combined sample to test positive, because the probability that the combined sample will test positive is greater than 0.05.
B) Is the square footage of a house a discrete random variable, a continuous random variable, or not a random variable?
It is a continuous random variable.
DE) Is the amount of snowfall in December in City A a discrete random variable, a continuous random variable, or not a random variable?
It is a continuous random variable.
Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The amount of rainfall in a country in a year b. The "yes" or "no" response to a survey question c. The number of statistics students now doing their homework d. The number of people in a restaurant that has a capacity of 250 e. The time required to upload a file to the Internet f. The a. Is the amount of rainfall in a country in a year a discrete random variable, continuous random variable, or not a random variable?
It is a continuous random variable.
Is the square footage of a pool a discrete random variable, continuous random variable, or not a random variable?
It is a continuous random variable.
b. Is the distance a baseball travels in the air after being hit a discrete random variable, a continuous random variable, or not a random variable?
It is a continuous random variable.
d. Is the amount of rain in City A during July a discrete random variable, continuous random variable, or not a random variable?
It is a continuous random variable.
d. Is the time it takes for a light bulb to burn out a discrete random variable, a continuous random variable, or not a random variable?
It is a continuous random variable.
e. Is the time required to upload a file to the Internet a discrete random variable, continuous random variable, or not a random variable?
It is a continuous random variable.
f. Is the square footage of a pool a discrete random variable, continuous random variable, or not a random variable?
It is a continuous random variable.
f. Is the time required to download a file from the Internet a discrete random variable, a continuous random variable, or not a random variable?
It is a continuous random variable.
f. Is the weight of a T-bone steak a discrete random variable, a continuous random variable, or not a random variable?
It is a continuous random variable.
E) Is the number of textbook authors now sitting at a computer a discrete random variable, a continuous random variable, or not a random variable?
It is a discrete random variable.
F. Is the number of people with blood type A in a random sample of 32 people a discrete random variable, a continuous random variable, or not a random variable?
It is a discrete random variable.
Is the number of free-throw attempts before the first shot is missed a discrete random variable, continuous random variable, or not a random variable?
It is a discrete random variable.
Is the number of runs scored during a baseball game a discrete random variable, continuous random variable, or not a random variable?
It is a discrete random variable.
Is the number of statistics students now doing their homework a discrete random variable, continuous random variable, or not a random variable?
It is a discrete random variable.
Is the number of fish caught during a fishing tournament a discrete random variable, a continuous random variable, or not a random variable?
It is a discrete random variable.
Is the number of hits to a website in a day a discrete random variable, a continuous random variable, or not a random variable?
It is a discrete random variable.
Is the number of textbook authors now sitting at a computer a discrete random variable, a continuous random variable, or not a random variable?
It is a discrete random variable.
a. Is the number of free-throw attempts before the first shot is made a discrete random variable, a continuous random variable, or not a random variable?
It is a discrete random variable.
a. Is the number of runs scored during a baseball game a discrete random variable, continuous random variable, or not a random variable?
It is a discrete random variable.
b. Is the number of light bulbs that burn out in the next week in a room with 18 bulbs a discrete random variable, a continuous random variable, or not a random variable?
It is a discrete random variable.
c. Is the number of statistics students now doing their homework a discrete random variable, continuous random variable, or not a random variable?
It is a discrete random variable.
d. Is the number of people in a restaurant that has a capacity of 250 a discrete random variable, continuous random variable, or not a random variable?
It is a discrete random variable.
e. Is the number of hits to a website in a day a discrete random variable, a continuous random variable, or not a random variable?
It is a discrete random variable.
Is the amount of snowfall in December in City A a discrete random variable, a continuous random variable, or not a random variable?
It is a continuous random variable.
Is the distance a baseball travels in the air after being hit a discrete random variable, a continuous random variable, or not a random variable?
It is a continuous random variable.
Is the distance a football travels in the air after being thrown a discrete random variable, continuous random variable, or not a random variable?
It is a continuous random variable.
Is the height of a randomly selected giraffe a discrete random variable, a continuous random variable, or not a random variable?
It is a continuous random variable.
Is the response to the survey question "Did you smoke in the last week?" a discrete random variable, a continuous random variable, or not a random variable?
It is a continuous random variable.
Is the square footage of a house a discrete random variable, a continuous random variable, or not a random variable?
It is a continuous random variable.
Is the time it takes to fly from City A to City B a discrete random variable, a continuous random variable, or not a random variable?
It is a continuous random variable.
Is the time required to download a file from the Internet a discrete random variable, a continuous random variable, or not a random variable?
It is a continuous random variable.
Is the weight of a T-bone steak a discrete random variable, a continuous random variable, or not a random variable?
It is a continuous random variable.
s the amount of rain in City B during April a discrete random variable, a continuous random variable, or not a random variable?
It is a continuous random variable.
HW2.5 (2) Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The exact time it takes to evaluate 27+72 b. The square footage of a house c. The political party affiliation of adults in the United States d. The amount of snowfall in December in City A e. The number of textbook authors now sitting at a computer f. The Is the number of points scored during a basketball game a discrete random variable, a continuous random variable, or not a random variable? A. It is a continuous random variable. Your answer is not correct. B. It is a discrete random variable. This is the correct answer. C. It is not a random variable.
It is a discrete random variable.
Is the gender of college students a discrete random variable, a continuous random variable, or not a random variable?
It is a discrete random variable.
Is the number of bald eagles in a country a discrete random variable, a continuous random variable, or not a random variable?
It is a discrete random variable.
Is the number of fish caught during a fishing tournament a discrete random variable, a continuous random variable, or not a random variable?
It is a discrete random variable.
Is the number of home runs in a baseball game a discrete random variable, continuous random variable, or not a random variable?
It is a discrete random variable.
Is the number of people in a restaurant that has a capacity of 100 a discrete random variable, continuous random variable, or not a random variable?
It is a discrete random variable.
Is the number of people with blood type A in a random sample of 29 people a discrete random variable, a continuous random variable, or not a random variable?
It is a discrete random variable.
Is the number of people with blood type B in a random sample of 15 people a discrete random variable, continuous random variable, or not a random variable?
It is a discrete random variable.
Is the number of pigeons in a country a discrete random variable, continuous random variable, or not a random variable?
It is a discrete random variable.
Is the number of statistics students now doing their homework a discrete random variable, continuous random variable, or not a random variable?
It is a discrete random variable.
Is the number of textbook authors now sitting at a computer a discrete random variable, a continuous random variable, or not a random variable?
It is a discrete random variable.
f. Is the number of people with blood type A in a random sample of 32 people a discrete random variable, a continuous random variable, or not a random variable?
It is a discrete random variable.
Is the number of light bulbs that burn out in the next week in a room with 14 bulbs a discrete random variable, a continuous random variable, or not a random variable? or Is the time it takes for a light bulb to burn out a discrete random variable, a continuous random variable, or not a random variable?
It is a discrete random variable. or It is a continuous random variable.
C)Is the political party affiliation of adults in the United States a discrete random variable, a continuous random variable, or not a random variable?
It is not a random variable.
Is the "yes" or "no" response to a survey question a discrete random variable, continuous random variable, or not a random variable?
It is not a random variable.
Is the "yes" or "no" response to a survey question a discrete random variable, continuous random variable, or not a random variable?
It is not a random variable.
Is the eye color of people on commercial aircraft flights a discrete random variable, a continuous random variable, or not a random variable?
It is not a random variable.
Is the last book a person in City A read a discrete random variable, continuous random variable, or not a random variable?
It is not a random variable.
Is the political party affiliation of adults in the United States a discrete random variable, a continuous random variable, or not a random variable?
It is not a random variable.
Is the political party affiliation of adults in the United States a discrete random variable, a continuous random variable, or not a random variable?
It is not a random variable.
s the political party affiliation of adults in the United States a discrete random variable, a continuous random variable, or not a random variable?
It is not a random variable.
b. Based on the result from part (a), is it unusual to find that among 832 people, there are 49 who experience nausea? Why or why not?
It is unusual because 49 is outside the range of usual values.
In an intercepted message, a page of 3200 characters is found to have the letter occurring 230 times. Is this unusual?
No, because 230 is within the range of usual values
Is it unusual for a car to have more than one bumper sticker? Explain.
No, because the probability of more than 1 bumper sticker is 0.121, which is greater than 0.05.
Determine whether the following probability experiment represents a binomial experiment and explain the reason for your answer. Three cards are selected from a standard 52-card deck without replacement. The number of fours selected is recorded.
No, because the trials of the experiment are not independent and the probability of success differs from trial to trial.
Determine whether the given procedure results in a binomial distribution. If it is not binomial, identify the requirements that are not satisfied. Surveying 20 college students and recording their favorite TV show
No, because there are more than two possible outcomes.
Is it unusual for a family with three children to have only girls?
No, because the probability of having 3 girls is greater than 0.05.
Is it unusual to randomly select 5 peas and find that at least 4 of them have a green pod? Note that a small probability is one that is less than 0.05.
No, because the probability of this occurring is not small.
Is it unusual to have fewer than four subjects experience headaches?
No, because the probability that fewer than four subjects will experience headaches is not unlikely.
d. Is 8 an unusually low number of Mexican-Americans among 12 jurors? Why or why not?
No, because the relevant probability is greater than 0.05.
If at least 12 households are tuned to the TV show, does it appear that the 70% share value is wrong? Why or why not?
No, because 12 households tuned to the TV show is not unusually high if the share is 70%.
What is the probability that at least 5 of the selected consumers recognize the brand name? To determine the correct answer, first write "the probability that at least 5 of the selected consumers recognize the brand name" as a mathematical expression. Choose the correct answer below.
P(5or 6)
A main goal in statistics is to interpret and understand the meaning of statistical values. The _______ can be very helpful in understanding the meaning of the mean and standard deviation.
Range Rule of Thumb
If, under a given assumption, the probability of a particular observed event is extremely small, we conclude that the assumption is probably not correct. This represents the _______.
Rare Event Rule.
For the binomial distribution, which formula finds the standard deviation?
SQ(npq)
Is the actual number of surveyed graduates who stayed at their first job less than two years unusual?
Since the actual number is outside of the range of usual values found in part (b), it is unusual.
Based on the preceding results, does nausea appear to be an adverse reaction that should be of concern to those who use the drug?
The drug does appear to be the cause of some nausea. Since the nausea rate is still quite low (about 6%), it appears to be an adverse reaction that does not occur very often.
HW2.5(1) The table to the right lists probabilities for the corresponding numbers of girls in three births. What is the random variable, what are its possible values, and are its values numerical?
The random variable is x, which is the number of girls in three births. The possible values of x are 0, 1, 2, and 3. The values of the random value x are numerical.
Which probability is relevant for determining whether 7 is an unusually high number of peas with green pods, the result from part (a) or part (b)?
The result from part (b)
Which probability is relevant for determining whether 8 jurors among 12 is unusually low: the result from part (a) or part (b)?
The result from part (b), because it measures the probability of 8 or fewer successes.
What does the result suggest about the headline?
The result suggests that the headline is justified.
Which of the following is not a requirement of the binomial probability distribution?
The trials must be dependent.
Is the result of 819 voting in the election usual or unusual?
This result is usual because 819 is within the range of usual values.
Which of the following is NOT one of the three methods for finding binomial probabilities that is found in the chapter on discrete probability distributions?
Use a simulation
Does the given information describe a probability distribution?
Yes
b. Would 0 wins in 240 bets be an unusually low number of wins?
Yes, because 0 is below the minimum usual value.
In an intercepted message, a page of 1900 characters is found to have the letter occurring 174 times. Is this unusual?
Yes, because 174 is greater than the maximum usual value
b. A random sample of 200 candies contains 39 orange candies. Is this result unusual? Does it seem that the claimed rate of 12% is wrong?
Yes, because 39 is greater than the maximum usual value. Thus, the claimed rate of 12% is probably wrong.
Determine whether the following probability experiment represents a binomial experiment and explain the reason for your answer. An experimental drug is administered to 80 randomly selected individuals, with the number of individuals responding favorably recorded.
Yes, because the experiment satisfies all the criteria for a binomial experiment.
Does it appear that accurate voting results can be obtained by asking voters how they acted?
Yes, because the results indicate that 79% is a possible turnout.
A Gallup poll of 1236 adults showed that 12% of the respondents believe that it is bad luck to walk under a ladder. Consider the probability that among 30 randomly selected people from the 1236 who were polled, there are at least 2 who have that belief. Given that the subjects surveyed were selected without replacement, the events are not independent. Can the probability be found by using the binomial probability formula? Why or why not?
Yes. Although the selections are not independent, they can be treated as being independent by applying the 5% guideline.
If 6 consumers are randomly selected, is 5 an unusually high number of consumers that recognize the brand name?
Yes, because the probability that 5 or more of the selected consumers recognize the brand name is less than 0.05.
In a probability histogram, there is a correspondence between _______.
area and probability.
A _______ random variable has infinitely many values associated with measurements.
continuous
HW 5.2 ( A _______ random variable has either a finite or a countable number of values.
discrete
The _______ of a discrete random variable represents the mean value of the outcomes.
expected value
The probability that the number of consumers that recognize the brand name is 5 or more, P(5 or 6), is greater than the cutoff of 0.05.
greater
Identify the expression for calculating the mean of a binomial distribution. Choose the correct answer below.
np
In the binomial probability formula, the variable x represents the _______.
number of successes.
HW5.2 (14) A _______ variable is a variable that has a single numerical value, determined by chance, for each outcome of a procedure.
random
Is the result of 419 voting in the election usual or unusual?
this result is unusual because 419 is below the minimum usual value
Since the sample of 370 respondents is a ▼ simple random random voluntary response sample, the results are
voluntary response very questionable
Does the given information describe a probability distribution?
yes
HW 5.2 (12) Based on data from a car bumper sticker study, when a car is randomly selected, the number of bumper stickers and the corresponding probabilities are as shown below. Complete parts (a) through (d).
yes
Determine whether the given procedure results in a binomial distribution. If it is not binomial, identify the requirements that are not satisfied. Recording the sex of 100 people in a statistics class
yes, because all 4 requirements are satisfied
Choose the correct answer below.
yes, max usual value
Is it unusual for a car to have more than one bumper sticker? Explain.
No, because the probability of more than 1 bumper sticker is 0.121, which is greater than 0.05.
Suppose a medical school has 11 students in one of the special programs of its medical program. Does the probability calculated in part (a) apply to these students?
No, because the students admitted through a single special program at a specific medical school are not a random sample.
. Is 7 an unusually high number of peas with green pods? Why or why not? Use 0.05 as the threshold for an unusual event.
No, since the appropriate probability is greater than 0.05, it is not an unusually high number.
Based on the result, is 1 girl in 10 births an unusually low number of girls? Explain.
Yes, 1 girl is an unusually low number of girls, because 1 girl is outside of the range of usual values.
If at most one household is tuned to Lindsay and Tobias, does it appear that the 30% share value is wrong? Why or why not?
yes, because with a 30% rate, the probability of at most one household is less than 0.05.