Question

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 30% of all drivers will tailgate before passing, thinking they can make the car in vehicles . front of them go faster. Suppose that you are driving a considerable distance on a two-lane highway and are passed by 8 LO USE SALT (a) Let / 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 3 0.25 0.25 02 0.2 Pirlo.15 0 1 0.05 0.05 2 3 4 5 6 7 O 0.25 0.2 P() 0.15 0.2 0.1 0.1 0.05 2 O O (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