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X and Y are jointly continuous with joint pdf f(x, y) = 2, x > 0,...

X and Y are jointly continuous with joint pdf

f(x, y) = 2, x > 0, y > 0, x + y ≤ 1

and 0 otherwise.

a) Find marginal pdf’s of X and of Y.

b) Find covariance Cov(X,Y).

c) Find correlation Corr(X,Y). What you can say about the relationship between X and Y?

Math   Statistics-And-Probability   
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