50. The number of hours between successive train arrivals at the station is uniformly distributed on (0,

Question:

50. The number of hours between successive train arrivals at the station is uniformly distributed on (0, 1). Passengers arrive according to a Poisson process with rate 7 per hour. Suppose a train has just left the station. Let X denote the number of people who get on the next train. Find

(a) ,

(b) .

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