A company has a one-year group life policy that divides its employees into two classes as follows:
Class, Probability of Death, Benefit, Number in Class,
A, 0.01, $20000, 1000
B, 0.03, $10000, 500
The insurance company wants to collect a premium that equals the $90^{th}$ percentile of the distribution of total claims. Calculate this premium.
I don't know how to approach it. I was thinking of using an approximation by separating each class into a different distribution with 1000/500 samples each but I don't know what kind of distributions they would create and what the parameters would be?