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The number of cars passing a road crossing during an hour is Po(b) distributed. The number of persons in each car is Po(p)-distributed. Find

 

The number of cars passing a road crossing during an hour is Po(b) distributed. The number of persons in each car is Po(p)-distributed. Find the generating function of the total number of persons, Y, passing the road crossing during one hour, and compute EY and Var Y

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