An insurance company charges $1,142 per year to insure your car. They calculate that there is a 8% chance that you have an accident each year, and that if you do have an accident, it will cost them $3,709.  What is the expected value for the insurance company of your policy?  Give your answer to two decimal places.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
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An insurance company charges $1,142 per year to insure your car. They calculate that there is a 8% chance that you have an accident each year, and that if you do have an accident, it will cost them $3,709.  What is the expected value for the insurance company of your policy?  Give your answer to two decimal places.

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Expected value:

The expected value of a random variable is the sum of the possible values that the random variable can take multiplied with corresponding probabilities.

 

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