A man wishes to purchase a life insurance policy that will pay the beneficiary $25,000 in the event that the man's death occurs during the next year. Using life insurance tables, he determines that theprobability that he will live another year is 0.92. What is the minimum amount that he can expect to pay for his premium? Hint: The minimum premium occurs when the insurance company's expectedprofit is zero.

There is 92% percent chances that company will pay nothing and 8 % chances that company will pay…

Answered: A man wishes to purchase a life…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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shift ↑ ctri otop Insurance: An insurance company sells a 1-year term life insurance policy to an 76-year-old woman. The woman pays a premium of $3600. If she dies within 1 year, the company will pay $90,000 to her beneficiary. According to the U.S. Centers for Disease Control and Prevention, the probability that an 76-year-old woman will be alive 1 year later is 0.9605. Let X be the profit made by the insurance company. AMD AS ocessor tab caps lock Part: 0/2 Part 1 of 2 (a) Find the probability distribution. The probability distribution is esc It ➜ fn X P(x) n Skip Part ! power. ching design. Type here to search. " 7 n 3600 E Stay connected and entertained 2 Q A Check # Z @ hp ta 2 # W * 3 VILE E S X X 5 alt $ 4 R % DF с 5 T V 10 G 6 # & B Y 99. 7 a hp H 4+ N #3 8 Save For Later © 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use S A O ( 9 JUDO J M Fo > O KL ' P { alt [ Submit Assignment Privacy Center Accessibility 9:23 PM AODE 40 2/21/202 ? = insert L . 1 prt sc 9 pause ctri M…
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Suppose a person is looking for a one-year life insurance policy. They decide on a $232994 policy. This policy costs $291 per year. Suppose the probability the person dies in the year is 0.0006. Find the expected value of the policy for the insurance company. Give your answer as a decimal to at least two decimal places.
Suppose that the life-time of a certain printer follows an exponential distribution with mean 2 years. The manufacture of this printer offers 100% refund if the printer fails during the first year and 50% if it fails during the second year and none afterward. a. Evaluate the probability of full refund. A. 0.05 B. 0.24 C. 0.39 D. 0.47 E. 0.52 b. Assume that each printer costs $100.00. Determine the expected refund for each sold printer. A. 46 B. 51 C. 54 D. 61 E. 66
ony runs a cell phone kiosk in the mall and has 244 potential customers each day. He has a 7 % chance to make a sale to each customer. Use continuity correction to normally approximate the following probabilities.Round to 4 decimal places.a. The probability that he makes AT LEAST 18 sales b. The probability that he makes AT MOST 16 sales
An insurance company will insure a $75,000 automobile for its full value against theft by apolicy with a premium of $1,500 per year. Suppose that the probability that the automobile willbe stolen is 0.0075.a. Construct the probability distribution.b. Calculate the insurance company's expected net profit for this policy.
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: 0 / 2 Part 1 of 2 (a) Find the probability distribution. The probability distribution is 1200 P(x)
An insurance company issues a policy for a diamond ring worth $15,000 for an annual premium of $225.00. If the company figures the probability of the ring to be lost or damaged is 0.005, what is the company's expected profit? Round your answer to nearest cent. (e.g. $135.789 would enter as 135.79)
An insurance company sells a $20,000, seven-year term life insurance policy to an individual for $1,700. Find the expected return for the company if the probability the individual will live for the next seven years is 0.92. (Round your answer to the nearest cent.)$
At a particular college 19 percent of the students major in business. All business majors are required to take a statistics course. Of the students not majoring in business, 31 percent of them still have to take a statistics course. What is the probability that a student has to take a statistics course at this particular college? Type your answer as a decimal to 4 decimal places.
The annual premium for a $20,000 insurance policy against the theft of a painting is $300. If the probability that the painting will be stolen during the year is 0.02, what is your expected return from the insurance company if you take out this insurance? Upload your answer with your work and explanations here
Insurance: An insurance company sells a 1-year term life insurance policy to an 79-year-old woman. The woman pays a premium of $1800. If she dies within 1 year, the company will pay $39,000 to her beneficiary. According to the U.S. Centers for Disease Control and Prevention, the probability that an 79-year-old woman will be alive 1 year later is 0.9561. Let X be the profit made by the insurance company. Part 1 of 2 (a) Find the probability distribution. The probability distribution is X -37200 1800 P(x) 0.0439 0.9561 Alternate Answer: X P(x) Part: 1 / 2 Part 2 of 2 - 37,200 1800 0.0439 0.9561 (b) Find the expected value of the profit. Expected value of the profit is S X 00

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