Question

"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) =
0.15e−0.15(x − 0.5) x ≥ 0.5
0 otherwise

(a) What is the probability that time headway is at most 6 sec?

Answer 1

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