39. The random variable X is the number of dental claims in a year and has the following pdf: fx|(2|0) = 1 x > 0. The parameter is distributed uniformly between 1 and 3. Calculate E(X) and Var(X). 40. Let N be a compound Poisson random variable with the following pf: > PNJA (k|A) = = Ake-x k! 9 k = 0, 1, 2,.... Let A have a uniform distribution on the interval (0,5). Determine the unconditional probability that N > 2.