The number K of customers that arrive at Jay's supermarket in a given day has the PMF PK (K) = k = 0, 1, 2,... k! Independently of K, the number of items N that any customer purchases from the supermarket has the PMF u"e-H PN(n) = n=0.1.2.... Determine the mean and the z-transform of the PMF of Y, the total number of items that the store sells on an arbitrary day.

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