154 CHAPTER 3 Probability 22. Pickup Trucks In a survey, 510 U.S. adults were asked whether they drive a pickup truck and whether they drive a Ford. The results showed that three in twenty adults surveyed drive a Ford. Of the adults surveyed that drive Fords, nine in twenty drive a pickup truck. Find the probability that a randomly selected adult drives a Ford and drives a pickup truck. U.S. adults who drive Fords U.S. adults who drive pickup trucks Sample Space: U.S. Adults 23. Celebrities as Role Models In a sample of 1103 probable voters, three out of four say they would like entertainers to address social and political issues. Two probable voters are selected at random. (Source: The Hollywood Reporter) (a) Find the probability that both probable voters would like entertainers to address social and political issues. (b) Find the probability that neither probable voter would like entertainers to address social and political issues. (c) Find the probability that at least one of the two probable voters would like entertainers to address social and political issues. 24. Knowing a Person Who Was Murdered In a sample of 11,771 children ages 2 to 17, 8% have lost a friend or relative to murder. Four children are selected at random. (Adapted from University of New Hampshire) (a) Find the probability that all four have lost a friend or relative to murder. (b) Find the probability that none of the four has lost a friend or relative to murder. (c) Find the probability that at least one of the four has lost a friend or relative to murder. 25. Best President In a sample of 1500 adult U.S. citizens, 270 said that Barack Obama was the best president in U.S. history. Two adult U.S. citizens are selected at random. (Adapted from YouGov) (a) Find the probability that both adult U.S. citizens say that Barack Obama was the best president in U.S. history. (b) Find the probability that neither adult U.S. citizen says that Barack Obama was the best president in U.S. history. (c) Find the probability that at least one of the two adult U.S. citizens says that Barack Obama was the best president in U.S. history. (d) Which of the events can be considered unusual? Explain. 26. Worst President In a sample of 1500 adult U.S. citizens, 690 said that Donald Trump was the worst president in U.S. history. Three adult U.S. citizens are selected at random. (Adapted from YouGov) (a) Find the probability that all three adult U.S. citizens say that Donald Trump was the worst president in U.S. history. (b) Find the probability that none of the three adult U.S. citizens say that Donald Trump was the worst president in U.S. history. (c) Find the probability that at most two of the three adult U.S. citizens say that Donald Trump was the worst president in U.S. history. (d) Which of the events can be considered unusual? Explain.
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