Use the normal approximation to find the partial credibility premium with k 0 1 and p 0 9 considering the claim history S1, , Sm of a risk of the form , where a) N has a bin (n, p) distribution with n 100 and p 1 2, and Yj is distributed as exp () with 1 10 b) N has a negative binomial distribution (, p) with 10 and p 1 3, and Yj is distributed as exp () with 1 10

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Question: Use the normal approximation to find the partial credibility premium with k = 0.1 and p = 0.9 considering the claim history S1, ..., Sm

Use the normal approximation to find the partial credibility premium with k = 0.1 and p = 0.9 considering the claim history S1, ..., Sm of a risk of the form

Use the normal approximation to find the partial credibility premium with k

, where:

a) N has a bin (n, p) distribution with n = 100 and p = 1/2, and Yj is distributed as exp () with = 1/10.

b) N has a negative binomial distribution (, p) with = 10 and p = 1/3, and Yj is distributed as exp () with = 1/10.

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