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The number of hours between successive train arrivals at the station is uni- formly distributed on (0, 1). Passengers arrive according to a Poisson process

The number of hours between successive train arrivals at the station is uni-

formly 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. What are the E[X] and VAR[X]?

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