Exam 5: Modeling Variation With Probability

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.

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.

Use the following information to answer questions . Suppose that a recent poll of American households about pet ownership found that for households with pets, 45% owned a dog, 34% owned a cat, and 10% owned a bird. Suppose that three households are selected randomly and with replacement and the ownership is mutually exclusive. -What is the probability that at least one of the three randomly selected households own a bird? (Round to the nearest hundredth)

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)

Use the following information to answer questions . Suppose that a recent poll of American households about car ownership found that for households with a car, 39% owned a sedan, 33% owned a van, and 7% owned a sports car. Suppose that three households are selected randomly and with replacement. -What is the probability that all three randomly selected households own a van? (Round to the nearest thousandth)

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?

The Venn diagram below depicts gender and occupation of a sample of adults. Which region on the Venn diagram represents the event "The individual is a male nurse"?

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.

Use the following information to answer questions . Suppose that a recent poll of American households about pet ownership found that for households with pets, 45% owned a dog, 34% owned a cat, and 10% owned a bird. Suppose that three households are selected randomly and with replacement and the ownership is mutually exclusive. -What is the probability that all three randomly selected households own a dog? (Round to the nearest hundredth)

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.

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.

Use the following table to answer questions . A random sample of car buyers was asked to respond to asurvey about what was the most important quality of the car they purchased. This question is summarized in the table below. The important contributors were fuel efficiency, looks, manufacturer reputation, price or other. -Find the probability of those car buyers who chose "looks" as their most important factor was a female car buyer?

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)

Use the following information to answer questions . Suppose that a recent poll of American households about pet ownership found that for households with pets, 45% owned a dog, 34% owned a cat, and 10% owned a bird. Suppose that three households are selected randomly and with replacement and the ownership is mutually exclusive. -What is the probability that at least two of the three randomly selected households own either a cat or a dog? (Round to the nearest hundredth)

Use the following information to answer questions . Suppose that a recent poll of American households about pet ownership found that for households with pets, 45% owned a dog, 34% owned a cat, and 10% owned a bird. Suppose that three households are selected randomly and with replacement and the ownership is mutually exclusive. -What is the probability that none of the three randomly selected households own a cat? (Round to the nearest hundredth)

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.

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

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.

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?".

A six-sided die is rolled and a coin is tossed. The probability of getting a tail on the coin and a 2 on the die is 8.3%. Is this an example of a theoretical or empirical probability?