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Suppose that X1,..., Xn∼iid Geometric(p). (a) Suppose that p has a uniform prior distribution on the...

Suppose that X1,..., Xn∼iid Geometric(p).

(a) Suppose that p has a uniform prior distribution on the interval [0,1]. What is the posterior distribution of p?

For part (b), assume that we obtained a random sample of size 4 with ∑ni=1 xi = 4.

(b) What is the posterior mean? Median?

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