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4. A life insurance saleswoman sells on average 3 life insurance policies per week. Assume that...
An insurance salesperson sells an average of 3 life insurance policies per week. Suppose insurance policies...
An insurance salesperson sells an average of 3 life insurance policies per week. Suppose insurance policies sales occur according to a Poisson distribution. a) What is the probability they will sell 3 or more policies in four weeks? b) What is the expected value of policies sold in four weeks? c) What is the variance in the expected number of policies sold?
Solve the following problems in R studio or R. please help with this question in writing...
Solve the following problems in R studio or R. please help with
this question in writing codes in R.
2. A life insurance salesman sells on average 3 life insurance policies per week. Use Poisson's law to calculate the probability that in a given week he will sell (a) At least 1 policy (b) 2 or more policies but less than 4 policies (c) Assuming that there are 5 working days per week, what is the probability that in a...
An insurance company pays out claims on its life insurance policies in accordance with a Poisson...
An insurance company pays out claims on its life insurance policies in accordance with a Poisson process rate λ = 5 per week. If the amount of money paid on each policy is exponentially distributed with mean $2000, what is the mean and variance of the amount of money paid by the company over a 4-week period?
4. An insurance agent plans to sell three types of policies- homeowner's insurance, auto insuranc...
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) 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...
A life insurance company has determined that each week an average of seven claims is filed...
A life insurance company has determined that each week an average of seven claims is filed in its Nashville branch. a. What is the probability that during the next week exactly seven claims will be filed? b. What is the probability that during the next week no claims will be filed? c. What is the probability that during the next week fewer than four claims will be filed? d. What is the probability that during the next week at least...
An insurer has 5 independent one-year term life insurance policies. The face amount on each policy...
An insurer has 5 independent one-year term life insurance policies. The face amount on each policy is 100,000. The probability of a claim occurring in the year for any given policy is 0.2. Find the probability the insurer will have to pay more than the total expected claim for the year.
Consider a large insurance company with two types of policies: policy A and policy B. Suppose...
Consider a large insurance company with two types of policies: policy A and policy B. Suppose that the number of claims the company sees in a given day has a Poisson distribution with a parameter of lamda. Suppose further that a randomly selected claim is from a type A policy with probability p. Find the probability that the company will receive exactly k claims from A policies tomorrow.
In a food processing and packaging plant, there are on average 3 packaging machine breakdowns per...
In a food processing and packaging plant, there are on average 3 packaging machine breakdowns per week. assume that the weekly machine breakdowns follow a poisson distribution calculate the probability that there are no more than 3 machine breakdowns in a given week
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...
Solve the following problems in R studio or R. please help with
this question in writing codes in R.
2. A life insurance salesman sells on average 3 life insurance policies per week. Use Poisson's law to calculate the probability that in a given week he will sell (a) At least 1 policy (b) 2 or more policies but less than 4 policies (c) Assuming that there are 5 working days per week, what is the probability that in a...
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) 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 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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