I was wondering how to solve this question:

An insurance company issues policies to two groups of insured A and B. For a certain type of coverage, the number of claims per year for each group follows the Poisson distribution

For group A the mean is 1, and for group B the mean is 1.5.

If in calendar year 2003, 2/5 of this company's policyholders are of group A, what is the probability that the combined number of claims from both groups is no more that two.

A. 0.627

B. 0.857

C. 0.544

D. 0.287

E. 0.879

Thanks!

An insurance company issues policies to two groups of insured A and B. For a certain type of coverage, the number of claims per year for each group follows the Poisson distribution

For group A the mean is 1, and for group B the mean is 1.5.

If in calendar year 2003, 2/5 of this company's policyholders are of group A, what is the probability that the combined number of claims from both groups is no more that two.

A. 0.627

B. 0.857

C. 0.544

D. 0.287

E. 0.879

Thanks!

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