Ignoring other partial losses, what premium should the insurance company charge each season to realize an average profit of $500?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter12: Sequences, Series And Binomial Theorem
Section12.3: Geometric Sequences And Series
Problem 12.58TI: What is the total effect on the economy of a government tax rebate of $500 to each household in...
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3. A race car driver wishes to insure his
car for the racing season for $50,000.
The insurance company estimates a
total loss may occur with probability
0.002, a 50% loss with probability 0.01,
and a 25% loss with probability 0.1.
Ignoring other partial losses, what
premium should the insurance
company charge each season to
realize an average profit of $500?
Transcribed Image Text:3. A race car driver wishes to insure his car for the racing season for $50,000. The insurance company estimates a total loss may occur with probability 0.002, a 50% loss with probability 0.01, and a 25% loss with probability 0.1. Ignoring other partial losses, what premium should the insurance company charge each season to realize an average profit of $500?
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