Applying Probability Rules — Unit test Answers

Reese, Greg, and Brad meet once a week for coffee. They each have their favorite café and, to be fair, they use randomization to choose where they will meet. Each person has a colored marble: red (R) for Reese, green (G) for Greg, and blue (B) for Brad. Each week, all three marbles are mixed well in a bag and a marble is selected. The favorite café of the person associated with the selected marble is chosen for that week’s meeting. What is the probability that Greg will not get to pick the café for either of the first two weeks?

For students majoring in Hospitality Management, it was determined that 5% have visited 1–10 states, 16% have visited 11–20 states, 45% have visited 21–30 states, 19% have visited 31–40 states, and 15% have visited 41–50 states. Suppose a Hospitality Management student is randomly picked. What is the probability that the student has visited 30 or fewer states?

Students majoring in psychology surveyed 200 of their fellow students about their dreams. The results of the survey are shown in the Venn diagram. Let B be the event that the participant dreams in black and white and let C be the event that the participant dreams in color.

A medical researcher claims that 60% of people with shellfish allergies do not have their first allergic reaction until adulthood. This value seems suspicious to a class of statistics students, so they ask an SRS of 30 adults with a shellfish allergy when they experienced their first allergic reaction. Fourteen of the adults experienced their first allergic reaction in adulthood. To see if this result is surprising, the class conducts a simulation to estimate the probability of obtaining a sample result as low as the one in their sample.Let 0–5 represent "adulthood” and 6–9 represent "before adulthood.”Using the line of random numbers, how many "adulthood” responses are in the first trial of the simulation?

A certain dog can catch a properly thrown tennis ball with a probability of 0.95. Unfortunately, this dog has dropped the last six properly thrown tennis balls. The owner explains that the next throw has to be caught by the dog because he never misses this many.

Students were given a fitness test in gym class, and were required to perform push-ups for two minutes. The assignment of probabilities for the different outcomes is shown in the table.# of push-ups 45Probability?0.740.12?

Josie believes that her mom calls her at the most inconvenient times. As a matter of fact, Josie thinks that 80% of the times that her mom calls, she is busy doing important tasks such as schoolwork, driving, or feeding the family pets.Which is the best interpretation of this probability?

An airline claims that 80% of adults have flown at least once. From a sample of 20 teenagers it is found that only 13 have flown at least once, giving reason to believe that the true parameter for teens is less than 80%.Let 0–7 represent having flown at least once (F) and let 8–9 represent never having flown (N).

Insurance company executives surveyed 200 young adults about their first motor vehicle. The results are shown in the two-way table.

A survey of 500 college students moving into their dorm revealed that 425 brought a microwave, 380 brought a video game console, and 50 brought neither a microwave nor game console. A survey participant is randomly selected. Let M be the event the participant brought a microwave and let C be the event the participant brought a video game console. Organize these events in a two-way table. What is the probability that the participant did not bring a microwave or did not bring a console, P(MC or CC)?

A man owns five bow ties. He chooses one bow tie at random to wear on any given day. The polka-dot bow tie is his favorite, so his random process uses a larger probability for that bow tie. The rest of the bow ties are given equal probabilities of being chosen, as shown in the table.Polka DotStripesCheckeredArgylePaisley0.40????

Students majoring in psychology surveyed 200 of their fellow students about their dreams. The results of the survey are shown in the Venn diagram. Let B be the event that the participant dreams in black and white and let C be the event that the participant dreams in color.