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)on 4. Suppose X and y are continuous random variables with joint density funstion the unit...

Question

)on 4. Suppose X and y are continuous random variables with joint density funstion the unit...

)on 4. Suppose X and y are continuous random variables with joint density funstion the unit square [0, 1] x [0, 1]. (a) Let F

)on 4. Suppose X and y are continuous random variables with joint density funstion the unit square [0, 1] x [0, 1]. (a) Let F(r,y) be the joint CDF. Compute F(1/2, 1/2). Compute F(z,y). (b) Compute the marginal densities for X and Y (c) Are X and Y independent? (d) Compute E(X), E(Y), Cov(X,y)

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Solution:

olution Let xą.y have Joint Pdf CA8 6 ˊ去( ) 3Q Max inal Pafx (x) ..x are t independent . 2. ナ2 1432 a. X 1 17 4%


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