5. Bar Graph Fox News broadcast a graph similar to the one shown here. The graph is intended to compare the number of people actually enrolled in a government health plan (left bar) and the goal for the number of enrollees (right bar). Does the graph depict the data correctly or is it somehow misleading? Explain. 6. Roulette A casino gambler plays roulette 50 times with a bet on the number 7 every time. To finish with a profit, at least 2 games must be won. For each game, P172 = 1>38. For the 50 games, P1exactly 2 wins2 = 0.236 and P12 or more wins2 = 0.380. For the 50 games, is 2 wins a significantly high number? Why or why not? How do things look for this gambler? 7.Washing Hands Based on results from a Bradley Corporation poll, assume that 70% of adults always wash their hands after using a public restroom. a. Find the probability that among 8 randomly selected adults, exactly 5 always wash their hands after using a public restroom. b. Find the probability that among 8 randomly selected adults, at least 7 always wash their hands after using a public restroom. c. For groups of 8 randomly selected adults, find the mean and standard deviation of the numbers in the groups who always wash their hands after using a public restroom. d. If 8 adults are randomly selected and it is found that exactly 1 of them washes hands after using a public restroom, is that a significantly low number? 8. Happiness In a survey sponsored by Coca-Cola, subjects were asked what contributes most to their happiness, and the table summarizes their responses. Does the table represent a probability distribution? Explain. x P(x) Family>partner 0.77 Friends 0.15 Other 0.08 Overbooking Flights Delta Airlines Flight 2673 from New York’s JFK airport to San Francisco’s SFO airport uses the Boeing 757-200 with 180 seats available for passengers. Delta can overbook by accepting more reservations than there are seats available. If the flight is not overbooked, the airline loses revenue from empty seats, but if too many seats are sold, the airline loses money from the compensation it must pay to the bumped passengers. Airlines calculate expected “no show” rates for each route and class of ticket, but for simplicity, assume that there is a 0.0995 probability that a passenger with a reservation will not show up for the flight (based on data from the IBM research paper “Passenger-Based Predictive Modeling of Airline No-Show Technology Project CHAPTER 5 Technology Project 241 continued
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