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 6 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 = 6.
(b) Compute the expected number of vehicles out of 6 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.)