Derive the moment generating function of the binomial distribution and calculate the mean and variance.\ $p(x) = inom{n}{x} p^x (1-p)^{n-x}$ $x = 0, 1, 2, dots, n$
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In this case, p" (0-x) is the probability of success if the event has not yet occurred, and p" (x) is the probability of success if the event has already occurred x times. Show more…
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