Do you tailgate the car in front of you? About 30% 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 7 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 = 7.
(b) Compute the expected number of vehicles out of 7 that will tailgate. (Round your answer to two decimal places.)
c) Compute the standard deviation of this distribution. (Round your answer to two decimal places.)
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