A random sample X1, X2, . . . , Xn of size n is taken from N (θ, θ2), (Note: it is (θ, θ2) ) where θ > 0 is a parameter. We get the following example:
x1 = 3.1, x2 = 2.5, x3 = 4.0, n = 3. Let θ have a prior distribution with p. m.f
pθ(m) = 1/3, if m = 1, 2, 3.
Please find the the posterior distribution of θ.