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Chapter 5: Q 67. (page 332)
Tall people and basketball players Select an adult at random. Define events T: person is over feet tall, and
B: person is a professional basketball player. Rank the following probabilities from smallest to largest. Justify your answer.
The correct order is
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Preparing for the GMAT A company that offers courses to prepare students for the Graduate Management Admission Test (GMAT) has collected the following information about its customers: are undergraduate students in business, are undergraduate students in other fields of study, and are college graduates who are currently employed. Choose a customer at random.
a. What must be the probability that the customer is a college graduate who is not currently employed? Why?
b. Find the probability that the customer is currently an undergraduate. Which probability rule did you use to find the answer?
c. Find the probability that the customer is not an undergraduate business student. Which probability rule did you use to find the answer?
Airport securityThe Transportation Security Administration (TSA) is responsible for airport safety. On some flights, TSA officers randomly select passengers for an extra security check prior to boarding. One such flight had 辫补蝉蝉别苍驳别谤蝉鈥�in first class and in coach class. Some passengers were surprised when none of the passengers chosen for screening were seated in first class. We want to perform a simulation to estimate the probability that no first-class passengers would be chosen in a truly random selection.
a. Describe how you would use a table of random digits to carry out this simulation.
b. Perform one trial of the simulation using the random digits that follow. Copy the digits onto your paper and mark directly on or above them so that someone can follow what you did.
c. In of the trials of the simulation, none of the passengers chosen was seated in first class. Does this result provide convincing evidence that the TSA officers did not carry out a truly random selection? Explain your answer.
Colorful disksA jar contains disks: each of four colors鈥攔ed, green, blue, and Page Number: yellow. Each set of disks of the same color is numbered from to . Suppose you draw one disk at random from the jar. Define events : get a red disk, and : get a disk with the number .
a. Make a two-way table that describes the sample space in terms of events and .
b. Find and .
c. Describe the event 鈥�and 鈥� in words. Then find the probability of this event.
d. Explain why Then use the general addition rule to compute
Which of the following is a correct way to perform the simulation?
a. Let integers from represent making a free throw and represent missing a free throw. Generate random integers from. Count the number
of made free throws. Repeat this process many times.
b. Let integers from represent making a free throw and represent missing a free throw. Generate 50 random integers from 1 to 50 with no repeats
allowed. Count the number of made free throws. Repeat this process many times.
c. Let integers fromrepresent making a free throw and represent missing a free throw. Generate 50 random integers fromCount the number of made free throws. Repeat this process many times.
d. Let integers from localid="1653986588937" represent making a free throw and localid="1653986593808" represent missing a free throw. Generate 50 random integers from localid="1653986598680" with no repeats allowed. Count the number of made free throws. Repeat this process many times.
e. None of the above is correct.
Which one of the following is true about the events 鈥淥wner has a Chevy鈥� and
鈥淥wner鈥檚 truck has four-wheel drive鈥�?
a. These two events are mutually exclusive and independent.
b. These two events are mutually exclusive, but not independent.
c. These two events are not mutually exclusive, but they are independent.
d. These two events are neither mutually exclusive nor independent.
e. These two events are mutually exclusive, but we do not have enough information to determine if they are independent.
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