Insurance: An insurance company sells a 1-year term life insurance policy to an 81-year-old man. The man pays a premium of $3900. If he dies within 1 year, the company will pay $62,000 to his beneficiary. According to the U.S. Centers for Disease Control and Prevention, the probability that an 81-year-old man will be alive 1 year later is 0.9381. Let X be the profit made by the insurance company. Part: 0/2 Part 1 of 2 (a) Find the probability distribution. The probability distribution is x P(x) 3900

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Author:Amos Gilat
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**Insurance Scenario:**

An insurance company offers a 1-year term life insurance policy to an 81-year-old man. The man pays a premium of $3,900. In the event of his death within the year, the company will pay $62,000 to his beneficiary. According to the U.S. Centers for Disease Control and Prevention, the probability of an 81-year-old man being alive after 1 year is 0.9381. Let \( X \) be the profit made by the insurance company.

**Task:**

Part 0 / 2  
Part 1 of 2

(a) Find the probability distribution.

The probability distribution is

| \( x \) | 3,900 |        |
|--------|-------|--------|
| \( P(x) \) |       |        |

- *Skip Part* 
- *Check Answer* 

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Transcribed Image Text:**Insurance Scenario:** An insurance company offers a 1-year term life insurance policy to an 81-year-old man. The man pays a premium of $3,900. In the event of his death within the year, the company will pay $62,000 to his beneficiary. According to the U.S. Centers for Disease Control and Prevention, the probability of an 81-year-old man being alive after 1 year is 0.9381. Let \( X \) be the profit made by the insurance company. **Task:** Part 0 / 2 Part 1 of 2 (a) Find the probability distribution. The probability distribution is | \( x \) | 3,900 | | |--------|-------|--------| | \( P(x) \) | | | - *Skip Part* - *Check Answer* **© 2023 McGraw Hill LLC. All Rights Reserved.** - *Terms of Use* - *Privacy Center*
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Step 1: Define the variable

Suppose X is the profit made by the insurance company.

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