Question: Exercise 3.4 (Logarithmic Distribution) Suppose that a discrete random variable X has the probability distribution where 0 and E[X] = a(1 p)/p. This distribution

Exercise 3.4 (Logarithmic Distribution) Suppose that a discrete random variable X has the probability distribution

(1 - p)" P{X=n}=a- n = 1, 2,..., n

where 0

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and E[X] = a(1 − p)/p. This distribution represents the situation that the failure probability decreases as the number of trials increases.

(1 - p)" P{X=n}=a- n = 1, 2,..., n

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