A factory problem

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A factory production line consists of two work stations A and B. At station A, X units per
hour are assembled; they are immediately transported to station B, where they are inspected
at the rate of Y units per hour, where Y < X. The possible values of X and Y are the integers
8,9, and 10. Let Z denote the random variable which counts the number of units that come off
the production line during the first hour of production.
a. Express Z in terms of X and Y, assuming each of X and Y is constant during this hour.
b. Describe, in a similar way, the random variable U which counts the number of units delivered in the first two consecutive hours of production. Each of X and Y is constant during each hour, but the constant values during the second hour need not be the same as those during the first.

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