Suppose a life insurance company sells a $250,000 one-year term life insurance policy to a 24-year-old female for $360. The probability that the female survives the year is 0.999477. Compute and interpret the expected value of this policy to the insurance company. The expected value is S. (Round to two decimal places as needed.) Which of the following interpretation of the expected value is correct? O A. The insurance company expects to make an average profit of S32.71 on every 24-year-old female it insures for 1 month. O B. The insurance company expects to make an average profit of $359.81 on every 24-year-old female it insures for 1 year. O C. The insurance company expects to make an average profit of $20.84 on every 24-year-old female it insures for 1 month. O D. The insurance company expects to make an average profit of $229.25 on every 24-year-old female it insures for 1 year.

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ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter5: Probability: An Introduction To Modeling Uncertainty
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Suppose a life insurance company sells a $250,000 one-year term life insurance policy to a 24-year-old female for $360. The probability that the female survives the year is 0.999477. Compute and interpret the expected value of
this policy to the insurance company.
The expected value is $
(Round to two decimal places as needed.)
Which of the following interpretation of the expected value is correct?
O A. The insurance company expects to make an average profit of $32.71 on every 24-year-old female it insures for 1 month.
O B. The insurance company expects to make an average profit of $359.81 on every 24-year-old female it insures for 1 year.
O C. The insurance company expects to make an average profit of $20.84 on every 24-year-old female it insures for 1 month.
O D. The insurance company expects to make an average profit of $229.25 on every 24-year-old female it insures for 1 year.
Transcribed Image Text:Suppose a life insurance company sells a $250,000 one-year term life insurance policy to a 24-year-old female for $360. The probability that the female survives the year is 0.999477. Compute and interpret the expected value of this policy to the insurance company. The expected value is $ (Round to two decimal places as needed.) Which of the following interpretation of the expected value is correct? O A. The insurance company expects to make an average profit of $32.71 on every 24-year-old female it insures for 1 month. O B. The insurance company expects to make an average profit of $359.81 on every 24-year-old female it insures for 1 year. O C. The insurance company expects to make an average profit of $20.84 on every 24-year-old female it insures for 1 month. O D. The insurance company expects to make an average profit of $229.25 on every 24-year-old female it insures for 1 year.
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