Exam 5: Modeling Variation With Probability

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 female college student from the group chose "housework" as their mostlikely activity on Saturday mornings? (Round to the nearest thousandth)

Which of the following statements is not true about probability?

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

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

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 is female?

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

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.

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 12 or more female babies? Assume that the gender of a baby is a random event. Which of the following experiments would not simulate this situation?

Use the following information to answer the question. Suppose that a recent poll of single people over the age of thirtyfivewere 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 none of the four randomly selected people rent a house orapartment? Show your work and round to the nearest thousandth.

Is the following an example of theoretical probability or empirical probability? At a carnival shellgame the player can pay three dollars and choose the shell that he or she believes is hiding theprize. There are four shells that are thoroughly mixed up after each guess. The player concludesthat there is a one in four chance of randomly picking the winning shell.

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" or "other" as their most likely activity on a Saturday morning?

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%

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

Consider one toss of a fair six-sided die. State the sample space of possible outcomes. Stateone possible random event then state the theoretical probability of that event. Explain howyou know that this is the probability of the random event.

Using this example, state two events that are mutually exclusive.

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 is female?

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?

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 all four people rent a house or apartment? Show your workand round to the nearest thousandth.

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

use your intuition to decide whether the following events are likely to be independent orassociated. 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.