I am having trouble with this particular problem and could use some help.

Let N be accidents that occur in a year and it is a Poisson distribution with parameter t.

S = X1 + X2 + ... + Xn where Xi is the amount of the insurance claim for the accident. Xi are iid with a mean "u" and variance "o^2"

How do you find the mean and variance of S?

Mean is n * u and variance n * (o^2)

But N is poisson so this varies?