13. [-/3.54 Points] DETAILS BBUNDERSTAT12 5.3.016.S. MY NOTES ASK YOUR TEACHER Do you tailgate the car in front of you? About 25% 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. LA USE SALT (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. 0.25 0.5 02 P () P (x ) 0.15 03 0.1 0.2 0.05 12 0.25 03 0.25 0.2 02 0.15 P (E) P (E) 0.15 01 0.1 0.05 0 125 1 2 3 4 56 (b) Compute the expected number of vehicles out of 8 that will tailgate. vehicles (c) Compute the standard deviation of this distribution. (Round your answer to two decimal places.) vehicles