Question: Given the function f(x|v,0)=v0x-1-02 e ,x20 with shape parameter v = 3 and unknown rate parameter 8. We have observed values X1-3, X2=4, X3=2.

Given the function f(x|v,0)=v0x-1-02" e ,x20 with shape parameter v = 3

Given the function f(x|v,0)=v0x-1-02" e ,x20 with shape parameter v = 3 and unknown rate parameter 8. We have observed values X1-3, X2=4, X3=2. Assume an exponential prior on 8 with rate parameter A=5/2. a) Find the posterior distribution of for the given prior. b) Find the posterior mean and variance. Previous answers to this question were wrong. Please provide a correct solution. For part (a) I got the answer 36300e-(203/2) but I'm not sure if it's right.

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