Claims have mean $500, standard deviation $400 and are lognormally distributed. The insurance company purchases excess of loss (XL) reinsurance with retention level $800. Find: (a) The proportion of claims that will involve the reinsurer. (b) The expected claim size paid by the insurer. (c) The expected claim size paid by the reinsurer. for claime the

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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Claims have mean $500, standard deviation $400 and are lognormally distributed. The insurance
company purchases excess of loss (XL) reinsurance with retention level $800. Find:
(a)
The proportion of claims that will involve the reinsurer.
(b)
The expected claim size paid by the insurer.
(c)
The expected claim size paid by the reinsurer, for claims that involve the reinsurer.
(d)
The variance of claims paid by the insurer.
Transcribed Image Text:Claims have mean $500, standard deviation $400 and are lognormally distributed. The insurance company purchases excess of loss (XL) reinsurance with retention level $800. Find: (a) The proportion of claims that will involve the reinsurer. (b) The expected claim size paid by the insurer. (c) The expected claim size paid by the reinsurer, for claims that involve the reinsurer. (d) The variance of claims paid by the insurer.
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