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Let X and Y be random variables with joint density shown in.pdf

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This document describes a joint probability density function fX,Y(x,y) for random variables X and Y over the region 0≤x≤1 and 0≤y≤2x. It asks to (a) find the constant K, (b) find the marginal density fX(x), (c) find the expected value of X, and (d) find the expected value of XY.

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Let X and Y be random variables with joint density (shown in Figure) fX,Y(x,y)={K,0,0x1,x/2y2x otherwise (a) Find K. (b) Find the density of X alone, fX(x). (c) Find E[X]. (d) Find E[XY]

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Let X and Y be random variables with joint density shown in.pdf

  • 1. Let X and Y be random variables with joint density (shown in Figure) fX,Y(x,y)={K,0,0x1,x/2y2x otherwise (a) Find K. (b) Find the density of X alone, fX(x). (c) Find E[X]. (d) Find E[XY]