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For p ( (0, 1), suppose that we observe a sequence of independent Ber(p) trials (i.c., each trial succeeds with probability p) until the first

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For p ( (0, 1), suppose that we observe a sequence of independent Ber(p) trials (i.c., each trial succeeds with probability p) until the first success occurs. Let X denote the total number of trials. For example, if the first two trials fail and the third succeeds, then X = 3. Determine the sample space, PMF, CDF, MGF (M (t) for t

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