Let XXX and YYY be jointly continuous with joint PDF f(x,y)=10ye−5xI(0,∞)(x)I(0,1)(y)f(x,y) = 10ye^{-5x}I_{(0,\infty)}(x)I_{(0,1)}(y)f(x,y)=10ye−5xI(0,∞)(x)I(0,1)(y). Compute E[X2Y]\mathbb{E}\left[\dfrac{X^2}{Y}\right]E[YX2].
