A coin having a probability p of coming up heads is successively flipped until the rth head
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A coin having a probability p of coming up heads is successively flipped until the rth head appears. Argue that X, the number of flips required, will be n, nzr, with probability P(X = n] = = ( - )p(1 - p)*** r-1 This is known as the negative binomial distribution. nr Hint: How many successes must there be in the first n 1 trials?
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