Suppose we have a highway with vehicles comming from left(Point A) an from the right(Point B). And in some point we have a Restaurant.(adsbygoogle = window.adsbygoogle || []).push({});

The number of vehicles passing the point A in an hour follows the Poisson distribution with mean 60; 20% of these vehicles are trucks. The number of vehicles passing B in an hour is also Poisson with mean 80; 30% of these are trucks. In general, 10% of all vehicles stop at the restaurant. The number of persons in a truck is one; the number of passengers in a car is equal to 1, 2, 3, 4, or 5 with respective probabilities 0.30, 0.30, 0.20, 0.10 and 0.10.

Find the expected value E[Z] of the number of persons Z arriving at the restaurant within that on hour.

Any suggestions?

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# Poisson Process

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