Do this problem without using any calculus/integration. Suppose that X and Y are jointly continuous random...

Do this problem without using any calculus/integration. Suppose that X and Y are jointly continuous random variables with joint density

fX,Y (x, y) = (1/y)exp (−y − (x /y) ), x > 0, y > 0

(a) Find the marginal density of Y and the conditional density of X given Y = y, y > 0

(b) Sketch a plot of the joint pdf

(d) Find E(Y ) and Var(Y )

(e) Find E(X|Y ) and Var(X|Y )

(f) Find E(X)

(g) Find Var(X)

(h) Find Cov(X, Y )

Solutions

Expert Solution

orchestra answered 1 year ago

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