題組內容

3. (20%) Consider64588a6b7647b.jpgY to be a compound Poisson distribution, where N follows a Poisson distribution with the expected number of event occurrences to be λ, and for each event occurrence, one receives a payoff Y, which follows an independent and identical normal distribution, ie., Y~ND(μ, σ2). Furthermore, assume N and Y are independent.

(a) (10%) Evaluate 64588ac227cb7.jpg.