Question

The inter-arrival times (in hours) between train arrivals to a station has Exponential distribution with mean of 0.25 hours (a) What is the distribution of S2, the time until arrival of the second train? Find the expected waiting time for the second train to arrive. (b) Let N represent the number of trains that arrive to the station in 1 hours. What is the distribution of N? Find the expected number of trains that arrive to the station in 5 hours.

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Tm until osval of seond thain in houh 0 25 6 ) N No of tscons that arouve to staton in 1 how(s N-P(4) E(N) 20 trains

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