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In: Statistics and Probability

Do you tailgate the car in front of you? About 35% of all drivers will tailgate...

Do you tailgate the car in front of you? About 35% of all drivers will tailgate before passing, thinking they can make the car in front of them go faster. Suppose that you are driving a considerable distance on a two-lane highway and are passed by 8 vehicles. (a) Let r be the number of vehicles that tailgate before passing. Make a histogram showing the probability distribution of r for r = 0 through r = 8. Maple Generated Plot Maple Generated Plot Maple Generated Plot Maple Generated Plot

(b) Compute the expected number of vehicles out of 8 that will tailgate. (Round your answer to two decimal places.) . vehicles

(c) Compute the standard deviation of this distribution. (Round your answer to two decimal places.) vehicles

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