Define: a) 95%th percentile of the S distribution using the normal approximation b) 95%th percentile of the S distribution using the lognormal approach

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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5. For aggregate losses, S:
• The amount of loss is assumed to follow a negative binomial distribution with a mean of 3 and a
variance of 3.6
• The amount of loss for each claim submitted by the policyholder is known to follow a uniform
distribution with parameters 0 and 20.
Define:
a) 95%th percentile of the S distribution using the normal approximation
b) 95%th percentile of the S distribution using the lognormal approach
Transcribed Image Text:5. For aggregate losses, S: • The amount of loss is assumed to follow a negative binomial distribution with a mean of 3 and a variance of 3.6 • The amount of loss for each claim submitted by the policyholder is known to follow a uniform distribution with parameters 0 and 20. Define: a) 95%th percentile of the S distribution using the normal approximation b) 95%th percentile of the S distribution using the lognormal approach
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