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Please help, show work if possible!

- | X FA WebWork : MA320-Zhou X Parth € ? C Secure | https://webwork.as.uky.edu/webwork2/MA320-Zhou-S18/Homework 11/6/?user=pma244&effectivelser=pma244&key=LOV2Wdyjc3b6GtXQB9gzo58fcgo... II Apps Canvas UKY a Amazon.com: Online graphics.pdf C 4. Rexxall that if y(t) s Kampus Properties A WeBWork Logged in as pma244. Log Out MATHEMATICAL ASSOCIATION OF AMERICA MAIN MENU webwork / ma320-zhou-s18 / homework 11/6 Courses Homework Sets Homework11 Problem 6 Homework 11: Problem 6 Previous Problem Problem List Next Problem User Settings Grades Problems (1 point) An insurance policy covers a loss which is uniformly distributed on 0,500). There is a $145 deductible on the policy. This means the insurance company will pay using the following function: (z) - 2 – 145 145 < a < 500. (0 otherwise. What is the expected payment of a claim? Round to three decimal places if needed. Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Email instructor

Answer 1

expected payment of claim =E(x-145) = $\small \int_{145}^{500}$ (x-145)(f(x) dx = $\small \int_{145}^{500}$ (x-145)/500 dx =(x²/2-145x)/500|⁵⁰⁰₁₄₅

=126.025