20.20 Life insurance. You might sell insurance to a 20-year-old friend. The probability that a man aged 20 will die in the next year is about 0.0007. You decide to charge $2000 for a policy that will pay $1 million if your friend dies. a. What is your expected profit on this policy? b. Although you expect to make a good profit, you would be foolish to sell a single policy only to your friend. Why? c. A life insurance company that sells thousands of policies, on the other hand, would do very well selling policies on exactly these same terms. Explain why.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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20.20 Life insurance. You might sell insurance to a 20-year-old friend. The probability that a
man aged 20 will die in the next year is about 0.0007. You decide to charge $2000 for a
policy that will pay $1 million if your friend dies.
a. What is your expected profit on this policy?
b. Although you expect to make a good profit, you would be foolish to sell a single policy
only to your friend. Why?
C. A life insurance company that sells thousands of policies, on the other hand, would do
very well selling policies on exactly these same terms. Explain why.
Transcribed Image Text:20.20 Life insurance. You might sell insurance to a 20-year-old friend. The probability that a man aged 20 will die in the next year is about 0.0007. You decide to charge $2000 for a policy that will pay $1 million if your friend dies. a. What is your expected profit on this policy? b. Although you expect to make a good profit, you would be foolish to sell a single policy only to your friend. Why? C. A life insurance company that sells thousands of policies, on the other hand, would do very well selling policies on exactly these same terms. Explain why.
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