\"Time headway\" in traffic flow is the elapsed time between the time that one c

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) = { 0.13e-0.13(x - 0.5) x > 0.5 0 otherwise What is the probability that time headway is at most 7 sec? (Round your answer to three decimal places.) What is the probability that time headway is more than 7 sec? At least 7 sec? (Round your answers to three decimal places.) What is the probability that time headway is between 6 and 7 sec? (Round your answer to three decimal places.)

Explanation / Answer

a.0.5704426

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