A car insurance company has high-risk, medium-risk, and low-risk clients, who have, respectively, probabilities .04, .02, and .01 of filing claims within a given year. The proportions of the numbers of clients in the three categories are .15, .25, and .60, respectively.   What proportion of the claims filed each year come from high-risk clients?

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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A car insurance company has high-risk, medium-risk, and low-risk clients, who have, respectively, probabilities .04, .02, and .01 of filing claims within a given year. The proportions of the numbers of clients in the three categories are .15, .25, and .60, respectively.

 

What proportion of the claims filed each year come from high-risk clients?

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