"Time headway" in traffic flow is the elapsed time between the time that one car finishes passing a fixed point and the instant that the next car begins to pass that point. Let X = the time headway for two randomly chosen consecutive cars on a freeway during a period of heavy flow. The pdf of X is the following.



f(x) =

0.15eāˆ’0.15(x āˆ’ 0.5) x ≄ 0.5

0 otherwise

AWhat is the probability that time headway is at most 6 sec?

Verified Answer :

In you question which as ask to calculate the probability that time headway is at most 6 seconds and base on my further research and analysis about the said equations and functions, I would say that the probability would be 0.15 or 15%. I hope you are satisfied with my answer and feel free to ask for more