Suppose that X1, . . . , Xn form a random sample from the normal distribution with known mean and unknown precision (

Suppose that X1, . . . , Xn form a random sample from the normal distribution with known mean μ and unknown precision τ (τ >0). Suppose also that the prior distribution of τ is the gamma distribution with parameters α0 and β0 (α0 > 0 and β0 > 0). Show that the posterior distribution of τ given that Xi = xi (i = 1, . . . , n) is the gamma distribution with parameters α0 + (n/2) and

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