Do you tailgate the car in front of you? About 45% of all drivers will tailgate

Question

Do you tailgate the car in front of you? About 45% 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.

(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.

Do you tailgate the car in front of you? About 45% 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. 0.25 0.3 0.2 Pey 0.15 0.2 0.1 0.05 0 2 3 4 5 6 7 8 0 2 3 4 5 6 7 8 0.3 0.25 0.25 0.15 Pun o.15 0.1 0.1 0.05 0.05 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8

Explanation / Answer

a)as it is binomial distrbution and p=0.45 which is near to 0.5 hence last option is correct (bottom right curve)

b) mean=np=8*0.45=3.6

c) std deviation =(np(1-p))1/2 =1.41

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