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This is the random process problem. Vehicles of two different types, cars and trucks, arrive to...

This is the random process problem.

Vehicles of two different types, cars and trucks, arrive to a gas station, so that gaps between their arrivals are independent exponential random variables with parameter 1 (vehicle per hour). Each vehicle, independently of others, is a car with probability p and is a truck with probability 1−p. Independently of other vehicles, each car and truck fills up by the number of gallons that is uniformly distributed between [8, 12] and [14, 16], respectively. In the long run, what is the average number of gallons that is sold per hour at the gas station?

Math   Statistics-And-Probability   
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