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Chapter 5: Q. 54 (page 329)
Union and intersection Suppose C and D are two events such that P(C), P(D), and
P(C 鈭� D). Find P(C 鈭� D).
The P is.
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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.
Reading the paper In a large business hotel, of guests read the Los Angeles Times. Only read the Wall Street Journal. Five percent of guests read both papers. Suppose we select a hotel guest at random and record which of the two papers the person reads, if either. What鈥檚 the probability that the person reads the Los Angeles Times or the Wall Street Journal?
Education among young adults Choose a young adult (aged to ) at random. The probability is that the person chosen did not complete high school, that the person has a high school diploma but no further education, and that the person has at least a bachelor鈥檚 degree.
a. What must be the probability that a randomly chosen young adult has some education beyond high school but does not have a bachelor鈥檚 degree? Why?
b. Find the probability that the young adult completed high school. Which probability rule did you use to find the answer?
c. Find the probability that the young adult has further education beyond high school. Which probability rule did you use to find the answer?
The partially complete table that follows shows the distribution of scores on the AP庐
Statistics exam for a class of students.
Select a student from this class at random. If the student earned a score of 3 or higher
on the AP庐 Statistics exam, what is the probability that the student scored a 5?
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.
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