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A customer buys a $1000 deductible policy on her $31,000 car. The probability of having
Chapter 3, Problem 3.4-14(choose chapter or problem)
A customer buys a $1000 deductible policy on her $31,000 car. The probability of having an accident in which the loss is greater than $1000 is 0.03, and then that loss, as a fraction of the value of the car minus the deductible, has the pdf f(x) = 6(1 x)5, 0 < x < 1. (a) What is the probability that the insurance company must pay the customer more than $2000? (b) What does the company expect to pay?
Questions & Answers
QUESTION:
A customer buys a $1000 deductible policy on her $31,000 car. The probability of having an accident in which the loss is greater than $1000 is 0.03, and then that loss, as a fraction of the value of the car minus the deductible, has the pdf f(x) = 6(1 x)5, 0 < x < 1. (a) What is the probability that the insurance company must pay the customer more than $2000? (b) What does the company expect to pay?
ANSWER:Step 1 of 3
Given:
(loss) has the pdf with
is the loss as the fraction of the value of the car minus the deductible, thus can take on values from 0 to