Suppose a life insurance company sells a $190,000 1-year term life insurance policy to a 20-year-old female for $300. According to the National Vital Statistics Report, 58(21), the probability that the female survives the year is 0.999544. Compute and interpret the expected value of this policy to the insurance company. The expected value is $. (Round to the nearest cent as needed.)

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Suppose a life insurance company sells a $190,000 1-year term life insurance policy to a 20-year-old female for $300. According to the National Vital Statistics Report, 58(21), the probability that the female survives the year is 0.999544.
Compute and interpret the expected value of this policy to the insurance company.
The expected value is $
(Round to the nearest cent as needed.)
Transcribed Image Text:Suppose a life insurance company sells a $190,000 1-year term life insurance policy to a 20-year-old female for $300. According to the National Vital Statistics Report, 58(21), the probability that the female survives the year is 0.999544. Compute and interpret the expected value of this policy to the insurance company. The expected value is $ (Round to the nearest cent as needed.)
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**Problem Statement:**

Suppose a life insurance company sells a $190,000 1-year term life insurance policy to a 20-year-old female for $300. According to the National Vital Statistics Report, 58(21), the probability that the female survives the year is 0.999544. Compute and interpret the expected value of this policy to the insurance company.

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**Calculation:**

- **The expected value is $213.36.**
  - (Round to the nearest cent as needed.)

---

**Interpretation Options:**

Which of the following interpretations of the expected value is correct? Select the correct choice below and fill in the answer box to complete your choice. (Round to the nearest cent as needed.)

- **A.** The insurance company expects to make a profit of $___ on every 20-year-old female it insures for 1 month.
  
- **B.** The insurance company expects to make a profit of $___ on every 20-year-old female it insures for 1 year.
  
- **C.** The insurance company expects to make a minimum profit of $___ on every 20-year-old female it insures for 1 month.
  
- **D.** The insurance company expects to make a maximum profit of $___ on every 20-year-old female it insures for 1 year.

---

This section provides a detailed explanation and multiple-choice question to help understand the expected value concept in the context of insurance policies.
Transcribed Image Text:**Problem Statement:** Suppose a life insurance company sells a $190,000 1-year term life insurance policy to a 20-year-old female for $300. According to the National Vital Statistics Report, 58(21), the probability that the female survives the year is 0.999544. Compute and interpret the expected value of this policy to the insurance company. --- **Calculation:** - **The expected value is $213.36.** - (Round to the nearest cent as needed.) --- **Interpretation Options:** Which of the following interpretations of the expected value is correct? Select the correct choice below and fill in the answer box to complete your choice. (Round to the nearest cent as needed.) - **A.** The insurance company expects to make a profit of $___ on every 20-year-old female it insures for 1 month. - **B.** The insurance company expects to make a profit of $___ on every 20-year-old female it insures for 1 year. - **C.** The insurance company expects to make a minimum profit of $___ on every 20-year-old female it insures for 1 month. - **D.** The insurance company expects to make a maximum profit of $___ on every 20-year-old female it insures for 1 year. --- This section provides a detailed explanation and multiple-choice question to help understand the expected value concept in the context of insurance policies.
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