An auto insurance company is implementing a new bonus system. In each month, if a policyholder does not have an accident, he or she will receive a 6.00 cash- back bonus from the insurer. Among the 1,000 policyholders of the auto insurance company, 3500 are classified as low-risk drivers and 650 are classified as high-risk drivers. In each month, the probability of zero accidents for high-risk drivers is .75 and the probability of zero accidents for low-risk drivers is .90. Calculate the expected bonus payment from the insurer to the 1,000 policyholders in one year.

CONCEPTS IN FED.TAX.,2020-W/ACCESS
20th Edition
ISBN:9780357110362
Author:Murphy
Publisher:Murphy
Chapter6: Business Expenses
Section: Chapter Questions
Problem 71IIP
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An auto insurance company is implementing a new bonus system. In each month,
if a policyholder does not have an accident, he or she will receive a 6.00 cash-
back bonus from the insurer. Among the 1,000 policyholders of the auto insurance
company, 3500 are classified as low-risk drivers and 650 are classified as high-risk
drivers. In each month, the probability of zero accidents for high-risk drivers is
.75 and the probability of zero accidents for low-risk drivers is .90. Calculate the
expected bonus payment from the insurer to the 1,000 policyholders in one year.
Transcribed Image Text:An auto insurance company is implementing a new bonus system. In each month, if a policyholder does not have an accident, he or she will receive a 6.00 cash- back bonus from the insurer. Among the 1,000 policyholders of the auto insurance company, 3500 are classified as low-risk drivers and 650 are classified as high-risk drivers. In each month, the probability of zero accidents for high-risk drivers is .75 and the probability of zero accidents for low-risk drivers is .90. Calculate the expected bonus payment from the insurer to the 1,000 policyholders in one year.
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