If X and Y are continuous random variables with joint probability density function a) Calculate P[2X^2 <Y] b) Any help would be appreciated
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Hello, Originally Posted by matty888 If X and Y are continuous random variables with joint probability density function a) Calculate P[2X^2 <Y] $\displaystyle P(2X^2<Y)=\mathbb{E}\left(\bold{1}_{Y>2X^2}\right) =\int_0^1 \int_0^1 f_{X,Y}(x,y) \bold{1}_{y>2x^2} ~dy ~dx$ $\displaystyle =\int_0^1 \int_{2x^2}^1 (x+y) ~dy ~dx$ Can you calculate this ?
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