Do you tailgate the car in front of you? About30%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 by8vehicles.

(a) Letrbe the number of vehicles that tailgate before passing. Make a histogram showing the probability distribution ofrforr= 0throughr=8.

(b) Compute the expected number of vehicles out of8that will tailgate.

vehicles

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

vehicles