Question 1

Use the following table to answer the question. A random sample of college students was asked to respond to a survey about how they spend their free time on weekends. 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 Saturday morning. The activity choices were homework, housework, outside employment, recreation, or other.
 
-Which of the following are mutually exclusive events?

Accepted Answer

Mutually exclusive events cannot occur at the same time. Choosing "recreation" and "other" as activities are mutually exclusive because a student cannot choose both as their most likely activity simultaneously.

Question 2

Use your intuition to decide whether the following events are likely to be independent or associated. Event A: The randomly selected carton of milk you purchased from the store is sour. Event B: Your car won't start on a randomly selected morning.

Accepted Answer

Events A and B are likely to be independent because there is no obvious connection between the two events. The fact that the milk is sour does not affect the probability that the car will not start, and vice versa.

Question 3

Use the following table to answer the question. A random sample of college students was asked to respond to a survey about how they spend their free time on weekends. 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 Saturday morning. The activity choices were homework, housework, outside employment, recreation, or other.
 
-If one student is randomly chosen from the group, what is the probability that the student chose "homework" or "housework" as their most likely activity on a Saturday morning?

Accepted Answer

The probability is calculated by adding the probabilities of choosing "homework" and "housework" as the most likely activities. If these probabilities sum to 0.395, then B is the correct choice.

Question 4

Find the probability that a male college student from the group chose "housework" as their most likely activity on Saturday mornings? (Round to the nearest thousandth)

Accepted Answer

The probability that a male college student from the group chose "housework" as their most likely activity on Saturday mornings is 0.302. This is because the table shows that 30.2% of male college students chose "housework" as their most likely activity on Saturday mornings.

Question 5

Use your intuition to decide whether the following events are likely to be independent or associated. Event A: A randomly selected person is married with no children. Event B: A randomly selected person opposes a tax credit for children.

Accepted Answer

People who are married with no children might have different perspectives on tax credits for children compared to those with children, suggesting a potential association.

Question 6

Use the following information to answer the question. Suppose that a recent poll of American households about pet ownership found that for households with a pet, 39% owned exactly a dog, 33% owned a cat, and 7% owned a bird. Suppose that three households are selected randomly and with replacement.
-What is the probability that none of the three randomly selected households own a bird? (Round to the nearest hundredth)

Accepted Answer

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

Question 7

Which of the following statements is true about the Law of Large Numbers (LLN)?

Accepted Answer

The Law of Large Numbers states that as the number of trials in an experiment increases, the empirical probability will tend to get closer to the theoretical probability.

Question 8

Use the following table to answer the question. A random sample of college students was asked to respond to a survey about how they spend their free time on weekends. 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 Saturday morning. The activity choices were homework, housework, outside employment, recreation, or other.
 
-Which of the following are mutually exclusive events?

Accepted Answer

Mutually exclusive events cannot occur at the same time. Choosing "outside employment" and "other" as activities for Saturday mornings are mutually exclusive because a student cannot choose both simultaneously.

Question 9

Use the following table to answer the question. A random sample of college students was asked to respond to a survey about how they spend their free time on weekends. 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 Saturday morning. The activity choices were homework, housework, outside employment, recreation, or other.
 
-If one student is randomly chosen from the group, what is the probability that the student is male?

Accepted Answer

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

Question 10

Use the following table to answer the question. A random sample of college students was asked to respond to a survey about how they spend their free time on weekends. 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 Saturday morning. The activity choices were homework, housework, outside employment, recreation, or other.
 
-If one student is randomly chosen from the group, what is the probability that the student is female or chose "homework" as their most likely activity on a Saturday morning?

Accepted Answer

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

Question 11

Use the following table to answer the question. A random sample of college students was asked to respond to a survey about how they spend their free time on weekends. 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 Saturday morning. The activity choices were homework, housework, outside employment, recreation, or other.
 
-What is the probability that a randomly chosen survey respondent is male or chose "recreation" as their most likely activity on Saturday mornings?

Accepted Answer

The probability of a respondent being male or choosing "recreation" is given as 0.675, which matches choice A.

Question 12

Use the following table to answer the question. A random sample of college students was asked to respond to a survey about how they spend their free time on weekends. 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 Saturday morning. The activity choices were homework, housework, outside employment, recreation, or other.
 
-If one student is randomly chosen from the group, what is the probability that the student is female?

Accepted Answer

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

Question 13

Is the following an example of theoretical probability or empirical probability? A card player declares that there is a one in thirteen chance that the next card pulled from a well- shuffled, full deck will be a queen.

Accepted Answer

Theoretical probability is based on mathematical calculations and assumptions, while empirical probability is based on observed data. In this case, the card player is making a theoretical probability statement based on the assumption that the deck is well-shuffled and that all cards are equally likely to be drawn.

Question 14

Which of the following statements is not true about probability?

Accepted Answer

All the given statements about probability are true.

Question 15

Use the following table to answer the question. A random sample of college students was asked to respond to a survey about how they spend their free time on weekends. 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 Saturday morning. The activity choices were homework, housework, outside employment, recreation, or other.
 
-If one student is randomly chosen from the group, what is the probability that the student is female and chose "outside employment" as their most likely activity on a Saturday morning?

Accepted Answer

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

Question 16

Is the following an example of theoretical probability or empirical probability? A fisherman notes that eight out of ten times that he uses a certain lure he catches a fish within an hour. He concludes that the probability that the lure will catch a fish on his fishing next trip is about 80%

Accepted Answer

This is an example of empirical probability because it is based on actual observations and past experiences rather than theoretical calculations.

Question 17

A true/false pop quiz contains seven questions. What is the probability that when guessing, a student will get at least one question correct? (Round to the nearest hundredth)

Accepted Answer

The probability of getting all questions wrong is (1/2)^7 = 0.0078. Therefore, the probability of getting at least one question correct is 1 - 0.0078 = 0.9922, which rounds to 0.99.

Question 18

The National Center for Health Statistics has found that there is a 5.01% chance that an American citizen will die from an accident (unintentional injury). What is the probability that you will not die from an accident? (Round to the nearest hundredth of a percent)

Accepted Answer

The probability of not dying from an accident is 100% minus the probability of dying from an accident, which is 100% - 5.01% = 94.99%.

Question 19

Use the following table to answer the question. A random sample of college students was asked to respond to a survey about how they spend their free time on weekends. 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 Saturday morning. The activity choices were homework, housework, outside employment, recreation, or other.
 
-If 20 babies are born, how often are there 8 or less male babies? Assume that the gender of a baby is a random event. Which of the following experiments would not simulate this situation?

Accepted Answer

All the given experiments simulate the situation of determining the gender of twenty babies, as they all provide a 50% chance for each gender.

Question 20

Is the following an example of theoretical probability or empirical probability? A homeowner notes that five out of seven days the newspaper arrives before 5 pm. He concludes that the probability that the newspaper will arrive before 5 pm tomorrow is about 71%.

Accepted Answer

This is an example of empirical probability because it is based on observed data from past events (the newspaper arriving before 5 pm on five out of seven days).

Quiz 5: Modeling Variation With Probability

Use your intuition to decide whether the following events are likely to be independent or associated. Event A: The randomly selected carton of milk you purchased from the store is sour. Event B: Your car won't start on a randomly selected morning.

Find the probability that a male college student from the group chose "housework" as their most likely activity on Saturday mornings? (Round to the nearest thousandth)

Use your intuition to decide whether the following events are likely to be independent or associated. Event A: A randomly selected person is married with no children. Event B: A randomly selected person opposes a tax credit for children.

Which of the following statements is true about the Law of Large Numbers (LLN) ?

Is the following an example of theoretical probability or empirical probability? A card player declares that there is a one in thirteen chance that the next card pulled from a well- shuffled, full deck will be a queen.

Which of the following statements is not true about probability?

Is the following an example of theoretical probability or empirical probability? A fisherman notes that eight out of ten times that he uses a certain lure he catches a fish within an hour. He concludes that the probability that the lure will catch a fish on his fishing next trip is about 80%

A true/false pop quiz contains seven questions. What is the probability that when guessing, a student will get at least one question correct? (Round to the nearest hundredth)

The National Center for Health Statistics has found that there is a 5.01% chance that an American citizen will die from an accident (unintentional injury) . What is the probability that you will not die from an accident? (Round to the nearest hundredth of a percent)

Is the following an example of theoretical probability or empirical probability? A homeowner notes that five out of seven days the newspaper arrives before 5 pm. He concludes that the probability that the newspaper will arrive before 5 pm tomorrow is about 71%.