An insurance company studies a sample of 150 policyholders. There are three types of policies: auto,...
An insurance company studies a sample of 150 policyholders. There are three types of policies: auto, home and medical. The following results are obtained about the policies held by the policyholders:
30 have only home insurance
10 have only medical insurance
98 have auto insurance but not all three types of insurance
27 have medical insurance but not all three types of insurance
13 have auto and medical insurance
Given that a policyholder has medical insurance, calculate the probability that he has home insurance.
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An insurance company studies a sample of 150 policyholders.
There are three types of policies: auto,...
An insurance company studies a sample of 150 policyholders. There are three types of policies: auto,...
An insurance company studies a sample of 150 policyholders. There are three types of policies: auto, home and medical. The following results are obtained about the policies held by the policyholders: 30 have only home insurance e 10 have only medical insurance 98 have auto insurance but not all three types of insurance 27 have medical insurance but not all three types of insurance . 13 have auto and medical insurance 2. Given that a policyholder has medical insurance, calculate...
An insurer offers auto insurance, fire insurance, and flood insurance. It offers only these policies. The...
An insurer offers auto insurance, fire insurance, and flood insurance. It offers only these policies. The company offers flood insurance only to fire insurance policyholders. That is, policyholders with fire insurance can add flood insurance. You are given: • 80% of all policyholders have auto insurance. • 40% of all policyholders have fire insurance. • 25% of policyholders with auto insurance also have fire insurance. • 50% of policyholders with fire insurance also have flood insurance. • 50% of policyholders...
(a) An insurance company sells several types of insurance policies, including auto policies and home- owner...
(a) An insurance company sells several types of insurance policies, including auto policies and home- owner policies. Let Aj be those people with an auto policy only, A2 those people with a homeowner policy only, and A3 those people with both an auto and homeowner policy (but no other policies). For a person randomly selected from the company's policy holders, suppose that P(A) 0.3, P(A2)-0.2, and P(A3)-0.2. Further, let B be the event that the person will renew at least...
An insurance company offers four different deductible levels-none, low, medium, and high-for its homeowner's policyholders and...
An insurance company offers four different deductible levels-none, low, medium, and high-for its homeowner's policyholders and three different levels-low, medium, and high -for its automobile policyholders. The accompanying table gives proportions for the various categories of policyholders who have both types of insurance. For example, the proportion of individuals with both low homeowner's deductible and low auto deductible is 0.07 (7% of all such individuals). Auto 0.05 0.20 0.15 Suppose an individual having both types of policies is randomly selected....
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An insurance company has issued 100 policies. The number of claims filed under each policy follows a Poisson distribution with a mean 2. Assuming that the claims filed by each policyholder are in...
An insurance company has issued 100 policies. The number of claims filed under each policy follows a Poisson distribution with a mean 2. Assuming that the claims filed by each policyholder are independent of each other, what is the approximate probability that more than 220 claims will be filed by the group of policyholders? B) 0.159 A) 0.079 C) 0.444 D) 0.556 E) 0.921 Question 2-20 An actuary is studying claim patterns in an insurer's book of business. He compiles...
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Activity-Based Costing in an Insurance Company Umbrella Insurance Company carries three major lines of insurance: auto, workers' compensation, and homeowners. The company has prepared the following report for 20Y2: Umbrella Insurance Company Product Profitability Report For the Year Ended December 31, 20Y2 Auto Workers' Compensation Homeowners Premium revenue $9,360,000 $8,450,000 $11,960,000 Less estimated claims (6,552,000) (5,915,000) (8,372,000) Underwriting income $2,808,000 $2,535,000 $3,588,000 Management is concerned that the administrative expenses may make some of the insurance lines unprofitable. However, the administrative...
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An insurance company studies a sample of 150 policyholders. There are three types of policies: auto, home and medical. The following results are obtained about the policies held by the policyholders: 30 have only home insurance e 10 have only medical insurance 98 have auto insurance but not all three types of insurance 27 have medical insurance but not all three types of insurance . 13 have auto and medical insurance 2. Given that a policyholder has medical insurance, calculate...
(a) An insurance company sells several types of insurance policies, including auto policies and home- owner policies. Let Aj be those people with an auto policy only, A2 those people with a homeowner policy only, and A3 those people with both an auto and homeowner policy (but no other policies). For a person randomly selected from the company's policy holders, suppose that P(A) 0.3, P(A2)-0.2, and P(A3)-0.2. Further, let B be the event that the person will renew at least...
An insurance company offers four different deductible levels-none, low, medium, and high-for its homeowner's policyholders and three different levels-low, medium, and high -for its automobile policyholders. The accompanying table gives proportions for the various categories of policyholders who have both types of insurance. For example, the proportion of individuals with both low homeowner's deductible and low auto deductible is 0.07 (7% of all such individuals). Auto 0.05 0.20 0.15 Suppose an individual having both types of policies is randomly selected....
4. An insurance agent plans to sell three types of policies- homeowner's insurance, auto insurance and life insurance. The average amount of profit returned per vear by each type of insurance policy is as follows: Policy Homeowner's Auto Life Yearly Profit/Policy $50 40 75 Each homeowner's policy will cost $18.20, each auto policy will cost S14.50 and each life insurance policy will cost $30.50 to sell and maintain. He has projected a budget of S80,000 per year. In addition, the...
A car insurance company offers three types of insurance: liability, collision and comprehensive. The car insurance company has the following information on its customers insuring only one car: (i) 70% of the cars are insured under the liability. (i) There are twice as many comprehensive policies as collision policies. (ii) A comprehensive insured car is three times as likely to be involved in an accident in a given year as a liability insured car. (iv) A collision insured car is...
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Question 3-6 An insurance company each policy follows a Poisson distribution with a mean 3. has issued 75 policies. The number of claims filed under Assuming that the claims filed by each policyholder are independent of each other, what is the approximate probability that more than 250 claims will be filed by the group of policyholders? A) 0.048 B 0.168 C) 0.424 D) 0.576 E) 0.952 Question 3-7 650X and let X have the following probability density function: Let Y...
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