7. The number of annual claims for malicious damage to a local school are modeled by a Poisson distribution with parameter A, where A is initially assumed to be one of the values (1,2,3,4,5) with prior distribution fA(A) (0.3, 0.3, 0.2, 0.1, 0.1). Over a three-year period, the annual claims experience was (3,2,7). Update the distribution for A (find the posterior) and find the Bayesian estimates of A when using the quadratic, absolute value and zero-one loss functions. =