Find the probability density function of the time interval

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Reference no: EM13288536

A commuter attempts to catch the 8:00 am train every morningalthough his arrival time at the station is a random variable thatis uniformly distributed between 7:55 am and 8:05 am. The train's departure time from the station is also a random variable that is uniformly distributed between 8:00 am and 8:10 am.

a. Find the probability density function of the time intervalbetween the commuter's arrival at station and the train's departuretime.

b. Find the probability that the commuter will catch the train.

Reference no: EM13288536

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