The joint probability density function of a random vector (X,Y) is f(x,y) = 2 for 0<x<1, 0<y<1, 0<x+y<1, 0 otherwise. Calculate Pr(X>Y). Find the conditonal density function of X given Y=0.3
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Originally Posted by maibs89 The joint probability density function of a random vector (X,Y) is f(x,y) = 2 for 0<x<1, 0<y<1, 0<x+y<1, 0 otherwise. Calculate Pr(X>Y). Find the conditonal density function of X given Y=0.3 1. Integrate the joint pdf over the region bounded by the lines y = x, x + y = 1 and y = 0. 2. Definition: $\displaystyle f(x | y) = \frac{f(x, y)}{g(y)}$ where $\displaystyle g(y)$ is the marginal pdf of Y.
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