Do you tailgate the car in front of you? About 35% of all drivers will tailgate

Question

Do you tailgate the car in front of you? About 35% 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 6 vehicles (a) Letr be the number of vehicles that tailgate before passing. Make a histogram showing the probability distribution of r for r 0 through r 6 0.35 0.3 0.3 0.25 0.25 0.2 0.15 0.2 Ptr) Pir) 0.15 0.05 0.05 0.4 0.3 0.25 0.3 0.2 P(r) 0.2 Pr) 0.15 0.05

Explanation / Answer

a)

for above binomial distribution: top right histogram is right

b)

expected value =np=6*0.35=2.1

c)std deviaiton =sqrt(np(1-p))=1.17

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