Question: X is a discrete random variable with P(X = 1|) = and P(X = 2|) = 1 . Five independent observations of X are made:

X is a discrete random variable with P(X = 1|) = and P(X = 2|) = 1 . Five independent observations of X are made: X1 = 1,X2 = 2,X3 = 2,X4 = 1,X5 = 2. If has a prior distribution that is uniform on [0,1], what is the posterior density? Please explain.

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