Supposing we let X1,...,Xn be independent random variables each with Poisson (?i) distributions for i= 1,...,n.

Given a Bayesian view: (?1,...,?n) are realizations from independent Gamma (?i,1) variables, Li, for i= 1,...,n servingasprior distributions.

So: (X1,...,Xn)|L1=?1,...,Ln=?n , are conditionally independent Poisson (?i) aforementioned.

a.Please show the calculations and find the joint prior distribution of:

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