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4. Monthly aggregate claims S are modeled by a compound Poisson dis- tribution where N has Poisson parameter 12 and a claim X takes the values (1,5, 10) with respective probabilities (0.2, 0.3, 0.5). Determine the probabilities P(Sr) for r≤200 and hence find the median, mode, 95 and 99th percentiles of S. What are the mean and variance of S?

4. Monthly aggregate claims S are modeled by a compound Poisson dis- tribution where N has Poisson parameter 12 and a claim X takes the values (1,5, 10) with respective probabilities (0.2, 0.3, 0.5). Determine the probabilities P(Sr) for r≤200 and hence find the median, mode, 95 and 99th percentiles of S. What are the mean and variance of S?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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4. Monthly aggregate claims S are modeled by a compound Poisson dis- tribution where N has Poisson parameter 12 and a claim X takes the values (1,5, 10) with respective probabilities (0.2, 0.3, 0.5). Determine the probabilities P(Sr) for r≤200 and hence find the median, mode, 95 and 99th percentiles of S. What are the mean and variance of S?
Transcribed Image Text:4. Monthly aggregate claims S are modeled by a compound Poisson dis- tribution where N has Poisson parameter 12 and a claim X takes the values (1,5, 10) with respective probabilities (0.2, 0.3, 0.5). Determine the probabilities P(Sr) for r≤200 and hence find the median, mode, 95 and 99th percentiles of S. What are the mean and variance of S?
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