Suppose that X denotes the number of successes in n repetitions of an experiment carried each time

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Suppose that X denotes the number of successes in n repetitions of an experiment carried each time independently of previous trials. Let 8 denote the probability of success of the experiment in a single mal. Suppose that your prior beliefs about 8 are well represented by a beta distribution with pdt Find the pdf for the unconditional distribution of the number of successes, assuming that there were six successes.

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