Determine the expected value (in dollars) that the insurance will pay for a single device

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 442RE: Jerome invests $18,000 at age 17. He hopes the investments will be worth $30,000 when he turns 26....
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An appliance is insured against early failure. The lifetime of the appliance after being bought is exponentially distributed with an expected lifetime of 4.5 years. The insurance will pay 38,000 dollars if the device fails within its first year, and 19,000 dollars if the device fails within its second year. If the device fails after the second year, then the insurance pays nothing. Determine the expected value (in dollars) that the insurance will pay for a single device. Round off to the nearest whole number.

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