Exam 5: Modeling Variation With Probability

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 thenearest hundredth)

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

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 theprobability that Michael will get at least one question correct? What is the probability thatMichael will get all five questions correct? 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 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 chose "outside employment" as their most likely activity on a Saturday morning?

What is the probability that Isaac, a waiter at Sam's BBQ Shack, will have Saturday orSunday off? Show your work and round to the nearest tenth of a percent.

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

A football game official tosses a coin at the beginning of each game to determine who willhave possession of the ball first. In the previous ten games the toss has come up tails fourtimes. The official says the probability that the coin will come up tails again is 40%. Is theofficial referring to a theoretical probability or an empirical probability? Explain.

Which of the following statements is not true about probability?

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?"

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 chose"homework" or "housework" as their most likely activity on a Saturday morning?

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

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 tothe nearest hundredth)

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

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 female firefighter?"

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 20 babies are born, how often are there 8 or less male babies? Assume that the gender of a baby isa random event. Which of the following experiments would not simulate this situation?

Use the following table to answer the question. A random sample of 200 new vehicle buyers were asked to respond to a survey 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, 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 was male and bought a car?

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

Which of the following statements is true about the "law of large numbers" (LLN)?

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

Use the following information to answer the question. Suppose that the typical work schedule for the wait staff at Sam's BBQShack, which is open seven days a week, is five days on with two days off each week. A week begins on Monday and ends onSunday. Assume that any day of the week is equally likely to be a day off. -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.