Insurance: An insurance company sells a 1-year term life insurance policy to an 80-year-old man. The man pays a premium of $1200. If he dies within 1 year, the company will pay $21,000 to his beneficiary. According to the U.S. Centers for Disease Control and Prevention, the probability that an 80-year-old man will be alive 1 year later is 0.9437. Let X be the profit made by the insurance company. Part 1 of 2 (a) Find the probability distribution. The probability distribution is - 19800 1200 P(x) || 0.0563 | 0.9437 Alternate Answer: - 19,800 1200 P(x) 0.0563 0.9437 Part: 1/ 2 Part 2 of 2 (b) Find the expected value of the profit. Expected value of the profit is S

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.2: Probability
Problem 48E: Quality Control To control the quality of their product, the Bright-Light Company inspects three...
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Insurance: An insurance company sells a 1-year term life insurance policy to an 80-year-old man. The man pays a premium of $1200. If he dies within 1 year,
the company will pay $21,000 to his beneficiary. According to the U.S. Centers for Disease Control and Prevention, the probability that an 80-year-old man will
be alive 1 year later is 0.9437. Let X be the profit made by the insurance company.
00
Part 1 of 2
(a) Find the probability distribution.
The probability distribution is
- 19800
1200
P (x)
0.0563
0.9437
Alternate Answer:
- 19,800
1200
P(x)
0.0563
0.9437
Part: 1/ 2
Part 2 of 2
(b) Find the expected value of the profit.
Expected value of the profit is $
Transcribed Image Text:Insurance: An insurance company sells a 1-year term life insurance policy to an 80-year-old man. The man pays a premium of $1200. If he dies within 1 year, the company will pay $21,000 to his beneficiary. According to the U.S. Centers for Disease Control and Prevention, the probability that an 80-year-old man will be alive 1 year later is 0.9437. Let X be the profit made by the insurance company. 00 Part 1 of 2 (a) Find the probability distribution. The probability distribution is - 19800 1200 P (x) 0.0563 0.9437 Alternate Answer: - 19,800 1200 P(x) 0.0563 0.9437 Part: 1/ 2 Part 2 of 2 (b) Find the expected value of the profit. Expected value of the profit is $
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