Stats Hawkes Exam 1

Suppose there are 16 men and 24 women in the local Rotary club. Two members are chosen at random each year to serve on the welcoming committee. What is the probability of choosing two members at random and the first is a woman and the second is a man? Round your answer to four decimal places, if necessary.

.2462 = 24/40*16/39

There are 428 identical plastic chips numbered 11 through 428 in a box. What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 122? Express your answer as a simplified fraction or a decimal rounded to four decimal places.

.2827 = 121/428

Consider a set of data in which the sample mean is 82.5 and the sample standard deviation is 5.8. Calculate the z-score given that x=88.9. Round your answer to two decimal places.

1.10

A coin is tossed 8 times. What is the probability of getting all tails? Express your answer as a simplified fraction or a decimal rounded to four decimal places.

1/256 = 2^8

A standard six-sided die is rolled. What is the probability of rolling a number equal to 4? Express your answer as a simplified fraction or a decimal rounded to four decimal places.

1/6

A box contains 10 green marbles and 10 white marbles. If the first marble chosen was a green marble, what is the probability of choosing, without replacement, a white marble? Express your answer as a fraction or a decimal number rounded to four decimal places.

10/19

Given the husband has between $100,000 and $150,000 of insurance, what is the probability that the wife has more than $150,000 of insurance? Round your final answer to four decimal places. Do not round intermediate answers.

177/282 = the probability of both of them=177 then find the total of all of the numbers for the husband between 100-150=282

A standard pair of six-sided dice is rolled. What is the probability of rolling a sum less than 8? Express your answer as a fraction or a decimal number rounded to four decimal places.

21/36 = 1+2+3+4+5+6 (21)

Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a red card for the second card drawn, if the first card, drawn without replacement, was a club? Express your answer as a fraction or a decimal number rounded to four decimal places.

26/51 = 26red cards minus one club=51 total cards

A box contains 15 large marbles and 19 small marbles. Each marble is either green or white. 7 of the large marbles are green, and 6 of the small marbles are white. If a marble is randomly selected from the box, what is the probability that it is small or white? Express your answer as a fraction or a decimal number rounded to four decimal places.

27/34 = 19+(15-7)=27 - 19+15=34

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 32 hours and the median is 28.2 hours. Twenty-four of the families in the sample turned on the television for 17 hours or less for the week. The 8th percentile of the data is 17 hours. What is the value of the 50th percentile?

28.2

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 32 hours and the median is 28.2 hours. Twenty-four of the families in the sample turned on the television for 17 hours or less for the week. The 8th percentile of the data is 17 hours. Approximately how many families are in the sample? Round your answer to the nearest integer.

300

What is the probability that a randomly selected person will have a birthday in May? Assume that this person was not born in a leap year. Express your answer as a simplified fraction or a decimal rounded to four decimal places.

31/365 = 31 days in May & 365 days in a yr

If the odds in favor of a horse winning a race is 4:7, what is the probability of the horse winning the race? Express your answer as a simplified fraction.

4/11

What is the probability of rolling a sum of 8 on a standard pair of six-sided dice? Express your answer as a fraction or a decimal number rounded to three decimal places, if necessary.

5/36 = (2,6 6,2 3,5 5,3 4,4)

Given the wife has between $50,000 and $100,000 of insurance, what is the probability that the husband has between $0 and $150,000 of insurance? Round your final answer to four decimal places. Do not round intermediate values.

564/594 add up where they cross so 50+50+464=564 and then add up all the wifes amount 564+30=594

Out of 413 applicants for a job, 257 have over 10 years of experience and 79 have over 10 years of experience and have a graduate degree. Consider that 108 of the applicants have graduate degrees. What is the probability that a randomly chosen applicant has over 10 years of experience, given that the applicant has a graduate degree? Enter a fraction or round your answer to 4 decimal places, if necessary.

79/108

Out of 413 applicants for a job, 257 have over 10 years of experience and 79 have over 10 years of experience and have a graduate degree. What is the probability that a randomly chosen applicant has a graduate degree, given that they have over 10 years of experience? Enter a fraction or round your answer to 4 decimal places, if necessary.

79/257

Find the number of outcomes in the complement of the given event. Out of 266 books in a bookcase, 180 are mysteries.

86 = 266-180

For a randomly selected policy, what is the probability that the wife will have between $100,000 and $150,000 of insurance or the husband will have more than $150,000 of insurance? Round your answer to three decimal places, if necessary.

Add up all the numbers for the wife between 100000-150000 and then add up all the numbers for the husband for more than 150000, but do not add the number where they cross each other. you only add the number in there once

Heights of men entering the U.S. Marine Corps are an example of which type of data?

Continuous

Forgetting to set your alarm. Being late to class.

Dependent

64% of all instructors at your school teach 2 or more classes.

Descriptive Statistic

The average price of a house in the new subdivision is $⁢339,000.

Descriptive Statistic

The numbers of TV shows taped in Los Angeles on various days are an example of which type of data?

Discrete

It is only a courtesy, not a necessity, to indicate the source of data taken from another source.

False

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 32 hours and the median is 28.2 hours. Twenty-four of the families in the sample turned on the television for 17 hours or less for the week. The 8th percentile of the data is 17 hours. Based on the given information, determine if the following statement is true or false. The 55th percentile is less than 27 hours.

False

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 32 hours and the median is 28.2 hours. Twenty-four of the families in the sample turned on the television for 17 hours or less for the week. The 8th percentile of the data is 17 hours. Based on the given information, determine if the following statement is true or false. The first quartile is less than 17 hours.

False

Clara is looking into investing a portion of her recent bonus into the stock market. While researching different companies, she discovers the following standard deviations of one year of daily stock closing prices. Masterful Pocketwatches: Standard deviation of stock prices =$⁢9.63 Handy Prosthetics: Standard deviation of stock prices =$⁢1.25 Based on the data and assuming these trends continue, which company would give Clara a stable long-term investment?

Handy Prosthetics; the smaller standard deviation indicates that Handy Prosthetics has less variability in its closing prices than Masterful Pocketwatches.

Robert runs out of gas on the way to work. Rebecca wins the state lottery.

Independent

A recent poll of 1420 home owners in Pennsylvania showed that the average price of a house in the U.S. is $⁢264,000.

Inferential Statistic

A recent poll of 3054 luxury car owners in Ohio showed that the average price of a luxury car in the U.S. is $⁢49,700.

Inferential Statistic

A survey of 3401 people revealed that 54% work a full-time job; therefore it can be assumed that 54% of the U.S. population works a full-time job.

Inferential Statistic

The salary of players on a professional baseball team

Median, the salaries of baseball players are quantitative data with outliers

Choosing a heart or a spade out of a standard deck of cards.

Mutually Exclusive

Religious affiliations are an example of which type of data?

Neither discrete or continuous

Breeds of dogs owned by a sample of households

Normal

Choosing a three or a spade out of a standard deck of cards.

Not mutually exclusive

Ranks for members of the United States Army

Ordinal

Types of motorcycles in a show room are an example of which type of data?

Qualitative

Fifty people were asked to respond to a survey question regarding how frequently they used their credit card. The categories they were asked to choose from are given below: 1) Infrequently 2) Sometimes 3) Frequently

Qualitative, Neither, Nominal

Widths of the doors in a restaurant are an example of which type of data?

Quantitative

The IQ scores of students at the local college.

Quantitative, Discrete, Interval

Grams of saturated fat in each item on a menu

Ratio

At a local university, you poll a group of 140 students and find that 24 of them are from out-of-state.

Relative Frequency Probability

You guess that there is a 65% chance that you will be assigned homework in your French class on Tuesday.

Subjective Probability

How to determine mutually exclusive vs not

To determine if two events are mutually exclusive, we must decide if the events share any common outcomes. In this case, we want to see if it is possible to draw a card that is both a heart and a spade. In a standard deck of cards, we see that this is not possible as a card is either a heart or a spade but cannot be both. Thus, these events are mutually exclusive.

Graphs are persuasive.

True

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 32 hours and the median is 28.2 hours. Twenty-four of the families in the sample turned on the television for 17 hours or less for the week. The 8th percentile of the data is 17 hours. Based on the given information, determine if the following statement is true or false. Approximately 150 families turned on their televisions for less than 28.2 hours.

True

Probability

between 0 and 1

In order to help decide when and where to advertise, an electronics repair company decided to pull invoices and tally what types of products were repaired. There were twenty-five products repaired that month. What is the level of measurement for the data? Are the data qualitative or quantitative?

normal, qualitative

Each individual result of a probability experiment is called a(n)

outcome

The subjective viewpoint regards the probability of an event as a measure of the degree of belief that the event has occurred or will occur. A relative frequency probability is calculated by dividing the number of times an event occurs by the total number of trials performed. Classical probability, also called theoretical probability, is calculated by taking all possible outcomes for an experiment into account.

subjective, relative frequency, and classical

A/An measures the number of standard deviations that a particular value is away from the mean.

z-score