A 30-year-old woman wants to purchase a $300,000one-year life insurance policy. What should theinsurance company charge the woman for the policy if itwants an expected profit of $60?The company should charge her $Age20304050Probabilityof FemaleDeath0.000700.000800.000950.00305C

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Answered: A 30-year-old woman wants to purchase a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Charlie buys a one-year term home insurance policy for $p, that will pay $200,000 in the event of a major catastrophe and $35,000 in the event of a minor catastrophe. Charlie's home has a 0.2% chance of a major catastrophe and a 0.7% of a minor catastrophe during the one year term. What did the insurance company charge Charlie for this policy if the company expected to break even?
Previous Problem Problem List Next Problem point Sam is applying for a single year life insurance policy worth $62,850.00. If the actuarial tables determine that she will survive the next year with probability 0.998, what is her expected value for the life insurance policy if the premium is $417.00? Give your answer to the nearest penny. (Note: Include dollar signs in your answer. If your answer is negative, answer as -$123.45)
4. The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $5 each and will sell 700 tickets. There is one $2,000 grand prize, three $400 second prizes, and twelve $40 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent.
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You purchase a brand new car for $15,000 and insure it. The policy pays 78% of the car's value if there is an issue with the engine or 30% of the car's value if there is an issue with the speaker system. The probability of an issue with the engine is 0.009, and the probability there is an issue with the speaker system is 0.02. The premium for the policy is p. Let X be the insurance company's net gain from this policy. (a) Create a probability distribution for X, using p to represent the premium on the policy. Enter the possible values of X in ascending order from left to right. P(X) (b) Compute the minimum amount the insurance company will charge for this policy. Round your answer to the nearest cent
If the famous insurance company, Lloyd’s of London, insures a $3 million Monet painting for $5000 per year. And, in each year, the painting has a .00021 chance of being stolen according to the Lloyd’s research team? From Lloyd’s perspective, find the expectation for insuring this painting for one year
There is a 0.9984 probability that a randomly selected 31-year-old male lives through the year. A life insurance company charges $159 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $80,000 as a death benefit. Complete parts (a) through (c) below. a. From the perspective of the 31-year-old male, what are the monetary values corresponding to the two events of surviving the year and not surviving? The value corresponding to surviving the year is $ The value corresponding to not surviving the year is $ (Type integers or decimals. Do not round.)
Suppose you pay $10 to roll a fair die with the understanding that you will get back $17 for rolling a 1 or a 2, nothing otherwise. What is your expected value? Round to the nearest cent. In your response do not use any words or symbols (i.e. $).
There is a 0.9986 probability that a randomly selected 27-year-old male lives through the year. A life insurance company charges $157 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $80,000 as a death benefit. Complete parts (a) through (c) below. a. From the perspective of the 27-year-old male, what are the monetary values corresponding to the two events of surviving the year and not surviving? The value corresponding to surviving the year is $nothing. The value corresponding to not surviving the year is $nothing. (Type integers or decimals. Do not round.) b. If the 27-year-old male purchases the policy, what is his expected value? The expected value is $nothing. (Round to the nearest cent as needed.) c. Can the insurance company expect to make a profit from many such policies? Why? because the insurance company expects to make an average profit of $nothing on every 27-year-old male it…
There is a 0.9985 probability that a randomly selected 33 year old male lives through the year. A life insurance company charges $155 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $100,000 as a death benefit. From the perspective of the 33 year old male, what are the monetary values corresponding to the two events of surviving the year and not surviving?
There is a 0.9985 probability that a randomly selected 30-year-old male lives through the year. A life insurance company charges $191 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $120,000 as a death benefit. Complete parts (a) through (c) below.

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A 30-year-old woman wants to purchase a $300,000 one-year life insurance policy. What should the insurance company charge the woman for the policy if it wants an expected profit of $60? The company should charge her $ Age 20 30 40 50 Probability of Female Death 0.00070 0.00080 0.00095 0.00305