Stat Unit3
The following contingency table shows the number of games won and lost at two locations where a local baseball team had played. WinsLossesDaryl Fields73Lincoln Park82 What is the probability that the team lost a game if it played at Lincoln Park? Answer choices are rounded to the hundredths place.
0.20
What is the probability of getting a number less than 2 OR greater than 4 upon rolling a six-sided die?
1/2
In a standard deck of cards, what is the probability of drawing a black card followed by drawing a heart? Answer choices are in the form of a percentage, rounded to the nearest whole number.
13%
Which pair of events are NOT overlapping when rolling a single die?
Getting a number greater than 5 Getting an odd number
In a factory that manufactures bolts, the first machine manufactures 70% of the bolts and a second machine manufactures the remaining 20%. The percentage of defective bolts is 3% and 5%, respectively.An employee picks a bolt off a shelf at random and it is from the first machine (event A).If you want to know the probability that it is a defective bolt (event C), which formula would you use?
p(c|a)=p(a|c)p(c)/p(a)
The average number of bridge construction projects that take place at any one time in a certain state is 7.Using the Poisson distribution formula, what is the probability of exactly 4 bridge construction projects taking place at one time in this state? Answer choices are rounded to the hundredths place.
0.09
A roulette wheel has 38 slots total, 36 of which are numbered 1 through 36, and 2 green slots labeled "0" and "00." For any spin of the wheel, what is the probability of NOT getting a number 1 through 18?
10/19
A roulette wheel has 38 slots total, 36 of which are numbered 1 through 36, and 2 green slots labeled "0" and "00." For any spin of the wheel, what is the probability of the roulette ball NOT landing on red?
10/19
What is the probability of getting a number less than 2 OR a prime number upon rolling a six-sided die?
2/3
What is the probability of getting an odd number OR a 2 upon rolling a six-sided die?
2/3
A total of 70 people were surveyed. The following Venn diagram shows the number of people who like pizza and who like soda. What is the probability that someone likes pizza(38), assuming that they also like soda(17)? Answer choices are in a percentage format, rounded to the nearest whole number.
23%
A school cafeteria wants to find out what combinations of food and beverage students are ordering. The results are represented in the two-way table below: FoodPizzaHamburgerSaladWater11723BeverageSlurpee18195Soda281214 Of the students who ordered salad, what is the probability that a student also ordered water?
23/42
A researcher was interested in how many people finish the Sunday versus the Monday crossword puzzle. The results of the research show the following: Which of the following explains how this is an example of Simpson's paradox?
Finish rates were higher for the Monday puzzle for both men and women, but overall finish rates are higher for the Sunday puzzle.
Using this Venn diagram, the probability that event A(.30) or event B(0.27) occurs is __________. shared(.12)
0.69
Which of the following is NOT an example of a binomial distribution?
The probability of drawing a card and getting a red or face card.
The probability of drawing a blue ball from Bag A is 1/5 and the probability of drawing a red ball from Bag B is 2/3.What is the probability of drawing a blue ball from Bag A AND a red ball from Bag B?
2/15
Which pair of events are overlapping when rolling a single six-sided die?
Getting an even number Getting a number less than 5
Approximately 60% of mathematics students do their homework on time.In a class of 100 students, what is the mean, variance, and standard deviation if we assume normality and use the normal distribution as an approximation of the binomial distribution? Answer choices rounded to the nearest whole number.
Mean = 60Variance = 24Standard Deviation = 5
In a standard deck of cards, what is the probability of drawing a diamond OR a face card? Answer choices are in the form of a percentage, rounded to the nearest whole number.
42%
In a well-shuffled, standard 52 card deck, what is the probability that a card is a Two, given that it is NOT a face card? Answer choices are in a percentage format, rounded to the nearest whole number.
10%
Approximately 54% of mathematics students do their homework on time.In a class of 250 students, what is the mean, variance, and standard deviation if we assume normality and use the normal distribution as an approximation of the binomial distribution? Answer choices rounded to the nearest whole number.
Mean = 135Variance = 62Standard Deviation = 8
Which of the following is NOT an example of a binomial distribution?
The probability of rolling a die five times and getting an even number or a prime number three times.
Zhi noticed that an odd number had appeared eight times in a row on the following roulette table. She now felt very strongly that an even number would be next. On a single spin, the probability of getting an even number is .Considering the last eight spins resulted in odd numbers, what is the probability of getting an even number on the next spin?
18/38 because each spin is independent.
A school cafeteria wants to find out what combinations of food and beverage students are ordering. The results are represented in the two-way table below: FoodPizzaHamburgerSaladWater11723BeverageSlurpee18195Soda281214 Of all the students, what is the probability that a student ordered a hamburger and a slurpee?
19/137
A researcher was interested in how many males and females were accepted into a university's graduate program. The results of the research show the following: Which of the following explains how this is an example of Simpson's paradox?
Acceptance rates were higher for the Psychology graduate program for both men and women, but overall acceptance rates are higher for the Engineering graduate program.
Which of the following is NOT an example of a binomial distribution?
The probability of rolling a die eight times and getting an odd number or a prime number four times.
What is the probability of drawing a diamond from a standard deck of 52 cards AND getting tails upon flipping a fair coin?
1/8
A bag contains 3 red balls and 5 green balls.What is the probability of picking a red ball from the bag AND getting heads upon flipping a fair coin?
3/16
Select the statement that indicates a "false negative."
A pregnancy test tells a woman she is not pregnant when she is.
A researcher was interested in baseball results for the Minnesota Twins and Chicago Cubs when they played at home and away. The results of the research show the following: Which of the following explains how this is an example of Simpson's paradox?
Win rates were higher for the Chicago Cubs for both home and away games, but overall win rates are higher for the Minnesota Twins.
A basketball player has a 25% accuracy rate at making three-point shots. Mark thought it was reasonable that each attempt was independent and the probability stayed at 25% for this player.Using the geometric distribution formula, what is the probability that the basketball player makes his first three-point shot on the third attempt? Answer choices are rounded to the hundredths place.
0.14
A small insurance company has determined that on average it receives 6 property damage claims per day.What is the probability that the company will receive 7 property damage claims on a randomly selected day? Answer choices are rounded to the hundredths place.
0.14
A basketball player has a 70% accuracy rate for making free throws. Mark thought that each attempt was independent and the probability stayed at 70% for this player.During a game, this player was fouled and given the chance to take two free throws.Using the geometric distribution formula, what is the probability that this player misses his first free throw, but makes the second one? Answer choices are rounded to the hundredths place.
0.21
Using this Venn diagram, the probability that event A or event B occurs is __________. A(.18) Shared(.08) B(0.58)
0.84
Using this Venn diagram, the probability that event A.25) or event B(.45) occurs is __________. shared(.15)
0.85
Greg noticed that a green space had appeared three times in a row on the following roulette table. He now felt very strongly that another green space would be next. On a single spin, the probability of getting a green space is .Considering the last three spins resulted in a green space, what is the probability of getting a green space on the next spin?
2/38 because each spin is independent.
A school cafeteria wants to find out what combinations of food and beverage students are ordering. The results are represented in the two-way table below: FoodPizzaHamburgerSaladWater11723BeverageSlurpee18195Soda281214 Of the students who ordered pizza, what is the probability that a student also ordered a soda?
28/57
In a well-shuffled, standard 52 card deck, what is the probability of a card being a Jack, given that it is a face card? Answer choices are in a percentage format, rounded to the nearest whole number.
33%
In a well-shuffled, standard 52 card deck, what is the probability that a card is a Queen, given that it is a black card? Answer choices are in a percentage format, rounded to the nearest whole number.
8%
Select the statement that indicates a "false negative."
A customer gets strep throat after drinking milk that passed inspection for streptococcus.
Approximately 40% of students enjoy basketball.In a class of 400 students, what is the mean, variance, and standard deviation if we assume normality and use the normal distribution as an approximation of the binomial distribution? Answer choices rounded to the nearest whole number.
Mean = 160Variance = 96Standard Deviation = 10
In a standard deck of cards, what is the probability of drawing an Ace OR a black card? Answer choices are in the form of a percentage, rounded to the nearest whole number.
54%
Which pair of events are NOT overlapping when rolling a single die?
Getting a number greater than 4 Getting a number less than 2
On any given day in which it had rained, there was a 40% chance that the morning was cloudy.When you wake up in the morning, you notice that it is cloudy (event C).If you want to know the probability that it will rain (event R), which formula would you use?
P(R|C)=P(C|R)P(R)/P(C)
Select the statement that indicates a "false positive."
Testing a shipment of dairy products reveals salmonella when, in fact, the bacteria is not present.
In a standard deck of cards, what is the probability of drawing a red card OR a face card? Answer choices are in the form of a percentage, rounded to the nearest whole number.
62%
A basketball player has a 60% accuracy rate for making free throws. During practice, this player fails to make a free throw three times in a row, but is finally successful on the fourth attempt.Using the geometric distribution formula, what is the probability of this player successfully making a free throw on the fourth attempt? Each attempt is independent of each other and answer choices are rounded to the hundredths place.
0.04
The average number of road accidents that occur on a particular stretch of road during a year is 11.Using the Poisson distribution formula, what is the probability of observing exactly 7 accidents on this stretch of road next year? Answer choices are rounded to the hundredths place.
0.06
The following contingency table shows the number of games won and lost at two locations where a local baseball team had played.
0.10
The following contingency table shows the number of games won and lost at two locations where a local baseball team had played. WinsLossesDaryl Fields64Lincoln Park73 What is the probability that the team won a game if it played at Lincoln Park? Answer choices are rounded to the hundredths place.
0.70
A roulette wheel has 38 slots total, 36 of which are numbered 1 through 36, and 2 green slots labeled "0" and "00." For any spin of the wheel, what is the probability of the roulette ball NOT landing on green?
18/19
Ashley noticed that a black number had appeared five times in a row on the following roulette table. She now felt very strongly that a red number would be next. On a single spin, the probability of getting a red number is .Considering the last five spins resulted in black numbers, what is the probability of the next spin being red?
18/38because each spin is independent.
A car producer stocks three types of tires: A, B, and C. Let P(A) = 0.40, P(B) = 0.15 and P(C) = 0.45. The percentage of defective tires is 2%, 1% and 5%, respectively.Someone picks a tire off the shelf at random and it is Brand A.If you want to know the probability that it is a defective tire (event D), which formula would you use?
P(D|A)=P(A|D)P(D)/P(D)