A 30-year-old woman wants to purchase a $200,000one-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 FemaleDeath0.000700.000700.000850.00315

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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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A company offers a 2-year warranty on a product for $35. Replacing the product to the consumer who purchases the warranty costs the company $200. The quality control division estimates that 0.25% of their products will fail within the fırst 2 years. What is the company's expected value for each warranty sold?
Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 5 Pennies 26 Dimes 18 Nickels 10 Quarters What is the probability that you reach into the jar and randomly grab a nickel and then, without replacement, another nickel? Express your answer as a fraction or a decimal number rounded to four decimal places.
A 38 -year-old woman purchases a $200,000 term life insurance policy for an annual payment of $370. Based on a period life table for the U.S. government, the probability that she will survive the year is 0.999052. Find the expected value of the policy for the insurance company. Round to two decimal places for currency problems.
here is a 0.9988 probability that a randomly selected 28-year-old male lives through the year. A life insurance company charges $176 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 28-year-old male, what are the monetary values corresponding to the two events of surviving the year and not surviving? b. If the 28-year-old male purchases the policy, what is his expected value? c. Can the insurance company expect to make a profit from many such policies? Why?
A company estimates that 0.8% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $250. If they offer a 2-year extended warranty for $35, what is the company's expected value of each warranty sold? Round your answer to the nearest cent.
Trevor is interested in purchasing the local hardware/sporting goods store in the small town of Dove Creek, Montana. After examining accounting records for the past several years, he found that the store has been arossina over $850 per day about 55% of the business days it is open. Estimate the probability that the store will aross over $850 for the following. (Round your answers to three decimal places. (a) at least 3 out of 5 business davs (b) at least 6 out of 10 business days (c) fewer than 5 out of 10 business days (d) fewer than 6 out of the next 20 business days (e) more than 17 out of the next 20 business days
Suppose a stock sells for $45 today. The annual volatility of the stock is 37%, and analysts predict the expected price of the stock in a year will be $50. What is the probability that in one year the stock will sell for more than $53? 28.4% 25.6% O 34.7% O 36.6%
United Healthcare is setting plan prices for cancer survivors in the upcoming plan year. It is estimated that 26% of survivors of a particular cancer will redevelop cancer in the next year, and that the treatment will cost about $350,000. United would like to maintain an expected value of $550 per plan; how much do they need to charge each person in order to attain this expected value?
The probability that a 29-year old female will die within 1-year is 0.000594. If an insurance company sells a 1-year, $50000 life insurance policy to a 29-year old female for $77, what is the expected value for the insurance company? Round your answer to the nearest cent.
Amount of claim (to nearest $20,000) Probability $0 0.70 $20,000 0.17 $40,000 0.06 $60,000 0.04 $80,000 0.02 $100,000 0.01 A. Calculate the expected value? B. How much should the company charge as an average premium so that it breaks even on its claim costs? C. How much should the company charge to make a profit of $50 per policy?
es The Internal Revenue Service is studying the category of charitable contributions. A sample of 25 returns is selected from young couples between the ages of 20 and 35 who had an adjusted gross income of more than $100,000. Of these 25 returns, five had charitable contributions of more than $1,000. Four of these returns are selected for a comprehensive audit. a. The hypergeometric distribution is appropriate because it is Osampling a small population without replacement. O sampling a small population with replacement. O sampling a large population without replacement. b. What is the probability exactly one of the four audited had a charitable deduction of more than $1,000? (Round your answer to 4 decimal places.) Probability
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. $).

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A 30-year-old woman wants to purchase a $200,000 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 0.00070 0.00085 0.00315