3. On a particular type of insurance policy, the number of claims for a given policyholder in a particular year can be modelled by a Poisson random variable with the probability function e- p(x2)= x = 0,1,2,..., x! where 2 is a parameter that is related to the expected number of claims. The insurer is uncertain what the true value of 1 is but he decides to model this uncertainty using the density function f(1) = { 0