addresses will be found? names ASK YOUR TEACHER 13. [-/3.54 Points] DETAILS BBUNDERSTAT12 5.3.016.5. MY NOTES 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 8 vehicles. In 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. 0.3- 0.4- 0.25 0.3 0.2- P(X) 02 P (r) 0.15- 0.1 0.1- 0.05 of 0 2 3 6 3 O O 0.3 0.25 0.25 0.2 0.2- 0.15- : P (r) P (r ) 0.15- 0.1 0.1 0.05 0.05 1 2 O 5 6 3 (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