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Suppose Z is a positive continuous random variable and E( Z T) : n! for 7 all n : 1, 2: . . .. Show

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Suppose Z is a positive continuous random variable and E( Z T") : n! for 7 all n : 1, 2: . . .. Show that the density function of Z is 12(3) : 63\". Hint: Use generating functions; i.e. E-(C'M)

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