Mathematics, 06.12.2019 23:31 khaylaperry
"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?
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