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# 2. 2. The joint probability density function of X and Y is given by                               &n

2.

2. The joint probability density function of X and Y is given by

f(x,y) = (6/7)(x² + xy/2), 0 < x < 1, 0 < y < 2.     f(x,y) =0 otherwise

a) Compute the marginal densities of X and Y. b) Are X and Y independent. c) Compute the   conditional density function f(y|x) and check restrictions on function you derived d) probability P{X+Y<1} [5+5+5+5 = 20]  #### Earn Coins

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