Losses from a line of insurance follow a Pareto distribution with a = 2 and 0 = 2000. It is found that the loss sizes are inflated by 4% uniformly, and the insurer changes the policy terms so that it will pay 80% of each loss after applying a $100 deductible subject to a maximum covered loss of $5,000. Calculate the insurer's expected payment per loss after the inflation, correct to two decimal places.

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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(a) Losses from a line of insurance follow a Pareto distribution with a =2 and 0 = 2000. It
is found that the loss sizes are inflated by 4% uniformly, and the insurer changes the
policy terms so that it will pay 80% of each loss after applying a $100 deductible subject
to a maximum covered loss of $5,000. Calculate the insurer's expected payment per loss
after the inflation, correct to two decimal places.
Transcribed Image Text:(a) Losses from a line of insurance follow a Pareto distribution with a =2 and 0 = 2000. It is found that the loss sizes are inflated by 4% uniformly, and the insurer changes the policy terms so that it will pay 80% of each loss after applying a $100 deductible subject to a maximum covered loss of $5,000. Calculate the insurer's expected payment per loss after the inflation, correct to two decimal places.
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