Question: Let X and Y be continuous random variables with joint density function {2xy if 0 ? x ? 2y ? 2\r\nf(x,y) = 0 else\r\n(a) Find the marginal distribution for x, denoted fX(x). Include\r\nthe domain of definition\r\n(b) Find the marginal distribution for y, denoted fY (y). Include the domain of definition\r\n(c) Find E[X] the expectation value for X.\r\n(d) Find E[Y ] the expectation value for Y .\r\n(e) Find the conditional distribution for x given y, denoted f(x|y). Include the domain of definition.\r\n(f) Find the conditional distribution for y given x, denoted f(y|x). Include the domain of definition.\r\n(g) Compute P (X > 1|Y > 1/2).\r\n(h) Compute P (Y > 3/4|X = 1).\r\n(i) Compute the covariance of X and Y , denoted Cov(X, Y ).  Edit