# Search results

1. ### Aggregate Loss Model (Actuarial Science)

Question: Let S be the random sum of N independent frequencies {{M_i}} where N is negative binomial distributed with r = 5 and \beta= 3 and {M_i} is Poisson distributed with  = 3. Find F_S(3) Attempt: I know the formulas for these two distribution, but I am totally lost of how I...
2. ### Poisson Distribution with two different expected value

Question: Suppose there are number of accidents at location A and location B each day with Poisson Distribution with rate 0.001 and the number of patients during each accident is Poisson distributed with rate 0.1. Find the probability that the number of patients less than 3 in one day...
3. ### Mixed Poisson Distribution Help

Question: The number of accidents follows a Poisson distribution with mean 12. Each accident generates 1, 2 or 3 claimants with probabilities 1/6,1/3,1/2, respectively. Calculate the probability that there are at most 3 claimants. Attempt: E(N) = 12[\frac{1}{6}+2*\frac{1}{3}+3*\frac{1}{2}]...