Answer ALL questions Question 1 (a) Given the following information: A sample of 2000 claims contains 1700 claims that are no greater than $6,000, 30 claims that are greater than $6,000 but no greater than $7,000 and 270 claims that are greater than $7,000. (c) If a policy limit, u apply on to these claims, E[X Au]-total amount of claim paid Given E[X A $6,000] = 1810 number of claims The total amount of 30 claims that are greater than $6,000 but no greater than $7,000 is $200,000. Find E[X A $7,000] based on this sample. (b) You are given the following information: A large risk has a lognormal claim size distribution with parameter µ = 8.443 and o=1.239. The insurance agent for the risk settles all claims under $5,000. (Claims of $5,000 or more are settled by the insurer, not the agent.) Determine the expected value of claim per payment settled by the insurance agent. You are given the following: Based on observed data truncated from above at $10,000, the probability of a claim exceeding $3,000 is 0.30. Based on the underlying distribution of losses, the probability of a claim exceeding $10,000 is 0.02. Determine the probability that a claim exceeds $3,000 (original probability without the truncation applied).
Answer ALL questions Question 1 (a) Given the following information: A sample of 2000 claims contains 1700 claims that are no greater than $6,000, 30 claims that are greater than $6,000 but no greater than $7,000 and 270 claims that are greater than $7,000. (c) If a policy limit, u apply on to these claims, E[X Au]-total amount of claim paid Given E[X A $6,000] = 1810 number of claims The total amount of 30 claims that are greater than $6,000 but no greater than $7,000 is $200,000. Find E[X A $7,000] based on this sample. (b) You are given the following information: A large risk has a lognormal claim size distribution with parameter µ = 8.443 and o=1.239. The insurance agent for the risk settles all claims under $5,000. (Claims of $5,000 or more are settled by the insurer, not the agent.) Determine the expected value of claim per payment settled by the insurance agent. You are given the following: Based on observed data truncated from above at $10,000, the probability of a claim exceeding $3,000 is 0.30. Based on the underlying distribution of losses, the probability of a claim exceeding $10,000 is 0.02. Determine the probability that a claim exceeds $3,000 (original probability without the truncation applied).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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