Passengers enter a train station according to a poisson


Passengers enter a train station according to a Poisson process of rate 4. A train departs the station at a random time uniformly distributed between 0 and 5, and a second train departs at time 5.

(a) Find the expected number of passengers who wait for 1 unit of time or less.

(b) Find P( at least three who wait more than 1 unit of time).

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