"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) = {0.17 0.17e-0.17(x-0.5) 0 x 0.5 otherwise (a) What is the probability that time headway is at most 7 sec? (Round your answer to three decimal places.) (b) What is the probability that time headway is more than 7 sec? At least 7 sec(Round your answers to three decimal places.) more than 7 sec at least 7 sec (c) What is the probability that time headway is between 6 and 7 sec? (Round your answer to three decimal places.)