Kindly assist in solving the following questions.

The annual number of claims from a particular risk has a Poisson distribution with mean //. The prior distribution for // has a gamma distribution with o = 2 and 1 =5. Claim numbers M, .... x, over the last n years have been recorded. (i) Show that the posterior distribution is gamma and determine its parameters. [3] (ii) Given that n = X and ) x; =5 determine the Bayesian estimate for // under: i=1 (a) squared-error loss (b) "all-or-nothing" loss (c) absolute error loss. [5] [Total 8]