Exam P Practice Problem 17 – Finding Variance of a Sum

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Problem 17A
Suppose that X and Y are random losses jointly distributed according to the density function f(x,y)=2x where 0<x<1 and 0<y<1. Find the variance of the sum of the two losses.

Problem 17B
Suppose that X and Y are random losses jointly distributed according to the density function f(x,y)=0.05 \ e^{-0.5 \ x} where 0<x<\infty and 0<y<10. Find the variance of the sum of the two losses.

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Answers

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\copyright \ 2013

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2 responses

  1. 17b. did you mean f(x,y)=0.5e^(-0.5x)?

    1. No. The problem is stated correctly.

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