3. Aggregate risk S comes from compound Poisson random variable with N- P(100) and individual claims X are exponential with mean 100. The insurer retains losses up to M = 200. Calculate the mean and variance of the re-insurer aggregate claims.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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3. Aggregate risk S comes from compound Poisson random variable with N- P(100) and individual claims
X are exponential with mean 100. The insurer retains losses up to M = 200.
Calculate the mean and variance of the re-insurer aggregate claims.
Transcribed Image Text:3. Aggregate risk S comes from compound Poisson random variable with N- P(100) and individual claims X are exponential with mean 100. The insurer retains losses up to M = 200. Calculate the mean and variance of the re-insurer aggregate claims.
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