Question: Consider the problem of estimating p in a binomial distribution. Let X be number of successes in a sample of size n. (a) Let the

Consider the problem of estimating p in a binomial Let X be number of successes in a sample of size n.
(a) Let the prior of p be given by Beta(3,1), that is

Find the posterior distribution of p.

(b) Let the prior distribution of p be given by Beta (a,b) (that is, Ï€(p) ˆ pa€“1 (1€“p)b€“1). Find the posterior distribution of p.

32, o 0, otherwise p. 0. otherwise

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