Exam 5: Modeling Variation With Probability

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

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. Homework Housework Outside Employment Recreation Other Total Male 29 15 20 23 9 96 Female 18 17 26 39 4 104 Total 47 32 46 62 13 200 -if one student is randomly chosen from the group, what is the probability that the student is femaleand chose "outside employment" as their most likely activity on a Saturday morning?

The National Center for Health Statistics has found that there is a 0.41% chance that an Americancitizen will die from falling. What is the probability that you will not die from a fall? (Round to thenearest hundredth of a percent)

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

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

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. Homework Housework Outside Employment Recreation Other Total Male 29 15 20 23 9 96 Female 18 17 26 39 4 104 Total 47 32 46 62 13 200 -Which of the following are mutually exclusive events?

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

Use the following table to answer the question. A random sample of 200 new vehicle buyers were asked to respond to asurvey about what kind of vehicle they purchased. One question, summarized in the table below, asked each respondent to choose the vehicle that best described the type of vehicle that they purchased. The vehicle choices were car, picksport utility vehicle, van, or other. Car Truck SUV Van Other Total Male 34 14 30 21 13 112 Female 37 3 23 17 8 88 Total 71 17 53 38 21 200 -Find the probability that a randomly chosen female buyer bought a van. (Round to the nearest hundredth)

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. Homework Housework Outside Employment Recreation Other Total Male 29 15 20 23 9 96 Female 18 17 26 39 4 104 Total 47 32 46 62 13 200 -If one student is randomly chosen from the group, what is the probability that the student is male?

Use the following table to answer the question. A random sample of 200 new vehicle buyers were asked to respond to asurvey about what kind of vehicle they purchased. One question, summarized in the table below, asked each respondent to choose the vehicle that best described the type of vehicle that they purchased. The vehicle choices were car, picksport utility vehicle, van, or other. Car Truck SUV Van Other Total Male 34 14 30 21 13 112 Female 37 3 23 17 8 88 Total 71 17 53 38 21 200 -If one person is chosen randomly from the group, what is the probability that the personpurchased a sport utility vehicle or a pick-up truck?

Use the following information to answer the question. Suppose that a recent poll of single people over the age of thirtywere asked about their living arrangements. The poll found that 34% rented a house or apartment, 21% owned a house, and17% 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 houseor apartment? Show your work and round to the nearest thousandth.

Use the following table to answer the question. A random sample of college students was asked to respond to a survey abouthow they spend their free time on weekends. One question, summarized in the table below, asked each respondent to choosethe 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. Homework Housework Outside Employment Recreation Other Total Male 29 15 20 23 9 96 Female 18 17 26 39 4 104 Total 47 32 46 62 13 200 -What is the probability that a randomly chosen survey respondent is male or chose "recreation" as their most likely activity on Saturday mornings?

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

Use the following table to answer the question. A random sample of 200 new vehicle buyers were asked to respond to asurvey about what kind of vehicle they purchased. One question, summarized in the table below, asked each respondent tochoose the vehicle that best described the type of vehicle that they purchased. The vehicle choices were car, pick sport utility vehicle, van, or other. Car Truck SUV Van Other Total Male 34 14 30 21 13 112 Female 37 3 23 17 8 88 Total 71 17 53 38 21 200 -If one person is chosen randomly from the group, what is the probability that the person purchased a van?

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. Homework Housework Outside Employment Recreation Other Total Male 29 15 20 23 9 96 Female 18 17 26 39 4 104 Total 47 32 46 62 13 200 -If one student is randomly chosen from the group, what is the probability that the student is maleand chose "outside employment" as their most likely activity on a Saturday morning?

Use the following information to answer the question. Suppose that a recent poll of American households about petownership found that for households with one pet, 39% owned a dog, 33% owned a cat, and 7% owned a bird. Suppose thatthree households are selected randomly and with replacement. -What is the probability that all three randomly selected households own a dog? (Round to the nearest hundredth)

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)

Use your intuition to decide whether the following two events are likely to be independent or associated. Even A: A randomly selected registered voter's political party affiliation is Republican Event B: A randomly selected registered voter opposes a new tax on fuel.

Use your intuition to decide whether the following two events are likely to be independent orassociated. Event A: You reach into your dark closet, without looking, and pull out a black shirt. Event B: You reach into your sock drawer, without looking, and pull out black socks.

Use the following table to answer the question. A random sample of college students was asked to respond to a survey abouthow they spend their free time on weekends. One question, summarized in the table below, asked each respondent to choosethe 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. Homework Housework Outside Employment Recreation Other Total Male 29 15 20 23 9 96 Female 18 17 26 39 4 104 Total 47 32 46 62 13 200 -If one student is randomly chosen from the group, what is the probability that the student chose"recreation" as their most likely activity on a Saturday morning?