Question 1

Use the following information to answer questions . Suppose that the typical work schedule for the wait
staff at Sam's BBQ Shack, which is open seven days a week, is five days on with two days off each week. A
week begins on Monday and ends on Sunday. Assume that any day of the week is equally likely to be a day off
and the selection of a day off is independent.
-What is the probability that Isaac, a waiter at Sam's BBQ Shack, will have Saturday or Sunday off? Show your work and round to the nearest tenth of a percent.

Accepted Answer

1/7 + 1/7 = 0.286

Question 2

A multiple choice quiz contains five questions. Each question has four answer choices. Michael is not prepared for the quiz and decides to guess for each question. What is the probability that Michael will get at least one question correct? What is the probability that Michael will get all five questions correct? Show your work and round to the nearest thousandth.

Accepted Answer

0.763, 0.001

Question 3

Use the following table to answer questions . A random sample of college students was asked to respond
to a survey about how they spend their free time on a week night. One question, summarized in the table below,
asked each respondent to choose the one activity that they are most likely to participate in on a Wednesday
afternoon/evening. The activity choices were homework, housework, outside employment, recreation, or other. 
-Using this example, state two events that are mutually exclusive.

Accepted Answer

Various. Any combination of the events "student doing homework - type x" and "student engaged in outside employment - type y".

Question 4

Jody flips a coin ten times and observes the outcome of heads three times. Yvonne flips a coin one hundred times and observes the outcome of heads forty-eight times. Jody states that his coin must not be fair because so few heads were observed. Pretend you are Yvonne and explain to Jody why his results do not indicate that he has an unfair coin by explaining to him what the Law of Large Numbers is, and how it justifies the results that were observed in both experiments.

Accepted Answer

The answer of Jody flips a coin ten times and...

Question 5

A researcher wants to compare experimental results with a theoretical value for the probability of getting a tail on a coin and a 1 on a die. Design an experiment to compare the probabilities. Define which one is theoretical and which one is an empirical probability? Explain.

Accepted Answer

The answer of A researcher wants to compare experimental results...

Question 6

Use the following table to answer questions . A random sample of college students was asked to respond
to a survey about how they spend their free time on a week night. One question, summarized in the table below,
asked each respondent to choose the one activity that they are most likely to participate in on a Wednesday
afternoon/evening. The activity choices were homework, housework, outside employment, recreation, or other. 
-If one person is chosen randomly from the group, what is the probability that the student is female and working at outside employment on a Wednesday afternoon/evening? (round to the nearest thousandth)

Accepted Answer

The answer of Use the following table to answer questions...

Question 7

Use the following table to answer questions . A random sample of college students was asked to respond
to a survey about how they spend their free time on a week night. One question, summarized in the table below,
asked each respondent to choose the one activity that they are most likely to participate in on a Wednesday
afternoon/evening. The activity choices were homework, housework, outside employment, recreation, or other. 
-Compare the probability that a randomly chosen female student was engaged in recreation versus a male student on a Wednesday afternoon/evening. (Round to the nearest thousandth)

Accepted Answer

The answer of Use the following table to answer questions...

Question 8

Use the following table to answer questions . A random sample of college students was asked to respond
to a survey about how they spend their free time on a week night. One question, summarized in the table below,
asked each respondent to choose the one activity that they are most likely to participate in on a Wednesday
afternoon/evening. The activity choices were homework, housework, outside employment, recreation, or other. 
-If one person is chosen randomly from the group, what is the probability that the person was male and doing housework on a Wednesday afternoon/evening? (round to the nearest thousandth)

Accepted Answer

The answer of Use the following table to answer questions...

Question 9

Describe why it is true that people are not good at identifying truly random samples so we need to rely on outside mechanisms. Give an example not mentioned in the text.

Accepted Answer

The answer of Describe why it is true that people...

Question 10

Use the following information to answer questions . Suppose that the typical work schedule for the wait
staff at Sam's BBQ Shack, which is open seven days a week, is five days on with two days off each week. A
week begins on Monday and ends on Sunday. Assume that any day of the week is equally likely to be a day off
and the selection of a day off is independent.
-What is the probability that Issac will have Saturday and Sunday off? Show your work and round to the nearest tenth of a percent.

Accepted Answer

The answer of Use the following information to answer questions...

Question 11

Use the following information to answer questions . Suppose that a recent poll of single people over the
age of thirty-five were asked about their living arrangements. The poll found that 34% rented a house or
apartment, 21% owned a house, and 17% owned a condominium. Suppose that four single people are selected
randomly and with replacement.
-What is the probability that all four people rent a house or apartment? Show your work and round to the nearest thousandth.

Accepted Answer

The answer of Use the following information to answer questions...

Question 12

Describe the difference between a theoretical probability and an empirical probability. Give at least one example of each type of probability.

Accepted Answer

The answer of Describe the difference between a theoretical probability...

Question 13

Use the following information to answer questions . Suppose that the typical work schedule for the wait
staff at Sam's BBQ Shack, which is open seven days a week, is five days on with two days off each week. A
week begins on Monday and ends on Sunday. Assume that any day of the week is equally likely to be a day off
and the selection of a day off is independent.
-State the complement of the event given in question (5) and calculate the probability of the complement. Show your work and round to the nearest tenth of a percent.

Accepted Answer

The answer of Use the following information to answer questions...

Question 14

Use the following table to answer questions . A random sample of college students was asked to respond
to a survey about how they spend their free time on a week night. One question, summarized in the table below,
asked each respondent to choose the one activity that they are most likely to participate in on a Wednesday
afternoon/evening. The activity choices were homework, housework, outside employment, recreation, or other. 
-If one person is chosen randomly from the group, what is the probability that the person was either doing homework or outside employment on a Wednesday afternoon/evening? (round to the nearest thousandth)

Accepted Answer

The answer of Use the following table to answer questions...

Question 15

Use the following information to answer questions . Suppose that a recent poll of single people over the
age of thirty-five were asked about their living arrangements. The poll found that 34% rented a house or
apartment, 21% owned a house, and 17% owned a condominium. Suppose that four single people are selected
randomly and with replacement.
-What is the probability that none of the four randomly selected people rent a house or apartment? Show your work and round to the nearest thousandth.

Accepted Answer

The answer of Use the following information to answer questions...

Question 16

Use your intuition and state whether these two events are likely to be associated or independent. Explain. Event A: A randomly selected adult is a pet owner. Event B: A randomly selected adult responds favorably to the survey question "Should a portion of the beach be set aside as an (unleashed) dog beach?".

Accepted Answer

The answer of Use your intuition and state whether these...

Question 17

Use the following table to answer questions . A random sample of college students was asked to respond
to a survey about how they spend their free time on a week night. One question, summarized in the table below,
asked each respondent to choose the one activity that they are most likely to participate in on a Wednesday
afternoon/evening. The activity choices were homework, housework, outside employment, recreation, or other. 
-If one person is chosen randomly from the group, what is the probability that the person is working on their homework on a Wednesday afternoon/evening? (round to the nearest thousandth)

Accepted Answer

The answer of Use the following table to answer questions...

Question 18

Use the following information to answer questions . Suppose that a recent poll of single people over the
age of thirty-five were asked about their living arrangements. The poll found that 34% rented a house or
apartment, 21% owned a house, and 17% owned a condominium. Suppose that four single people are selected
randomly and with replacement.
-What is the probability that at least one of the four randomly selected people rents a house or apartment? Show your work and round to the nearest thousandth.

Accepted Answer

The answer of Use the following information to answer questions...

Question 19

A card player claims that the probability of choosing a red jack from a well-shuffled deck of cars is 1/26 because choosing any card is equally likely and there are two red jacks in the deck of fifty-two cards. Is this an example of a theoretical probability or an empirical probability? Explain.

Accepted Answer

The answer of A card player claims that the probability...

Question 20

Suppose you would like a mug of hot chocolate with cinnamon. You reach into the kitchen cupboard containing twenty mixed up mismatched mugs without looking and pull out a pink coffee cup. You also reach into a kitchen drawer containing 30 different mixed up spice jars without looking and pull out the cinnamon. Use your intuition and state whether these two events are associated or independent. Explain.

Accepted Answer

The answer of Suppose you would like a mug of...

Quiz 5: Modeling Variation With Probability

A researcher wants to compare experimental results with a theoretical value for the probability of getting a tail on a coin and a 1 on a die. Design an experiment to compare the probabilities. Define which one is theoretical and which one is an empirical probability? Explain.

Describe why it is true that people are not good at identifying truly random samples so we need to rely on outside mechanisms. Give an example not mentioned in the text.

Describe the difference between a theoretical probability and an empirical probability. Give at least one example of each type of probability.

A card player claims that the probability of choosing a red jack from a well-shuffled deck of cars is 1/26 because choosing any card is equally likely and there are two red jacks in the deck of fifty-two cards. Is this an example of a theoretical probability or an empirical probability? Explain.