5. (10 points) The number of claims has the probability distribution $\mathbb{P] (N=0)=0.4$, $\mathbb{P] (N=1)=0.3, \mathbb{P] (N=2)=0.2$ and $\mathbb{P}(N=3 )=0.1 $ Each claim amount has a Poisson distribution with mean 4. The number of claims and claim amounts are mutually independent. Determine the variance of aggregate claims. SP. PB. 106