Consider three types of claims: A, B and C. Let XA denote the random variable for the size of a randomly chosen claim of type A, and let XB and Xc denote the corresponding random variables for claims of types B and C, respectively. Assume that XA, XB and Xc are exponentially distributed with parame- ters l4 = 0.002, AB = 0.001 and Ac = 0.005, respectively. An insurance company has a portfolio of policies with 10% of claims of type A, 20% of type B, and the remaining claims of type C. Let X denote the random variable for the size of a claim chosen at ran- dom from all those on policies in the portfolio. 100) the prohahility thet a landomiy choeerolam (a)Calculate P is groater than 100 (b) Calculate E[X|Type] for types A, B and C.

Consider three types of claims: A, B and C. Let XA denote the random variable for the size of a randomly chosen claim of type A, and let XB and Xc denote the corresponding random variables for claims of types B and C, respectively. Assume that XA, XB and Xc are exponentially distributed with parame- ters l4 = 0.002, AB = 0.001 and Ac = 0.005, respectively. An insurance company has a portfolio of policies with 10% of claims of type A, 20% of type B, and the remaining claims of type C. Let X denote the random variable for the size of a claim chosen at ran- dom from all those on policies in the portfolio. 100) the prohahility thet a landomiy choeerolam (a)Calculate P is groater than 100 (b) Calculate E[X|Type] for types A, B and C.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

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