. The joint density of the random variables X and Y is given as c f(x,y)...

Question

Question

. The joint density of the random variables X and Y is given as c f(x,y) = 1 < x <y <3 otherwise 10, i) Find c such that f(x,

Answer 1

Answer #1

0 calyc3 yz otherwise O have s s dlony) dx dy=1 9 t ca dady =) dy =1 २५ 2 yz dy=1 २५२ + + + - с 3 3 .: 469,y) = ☺

(ii) To dind P(x42, Y22): calculare sta dady (Not computing since it is asked not to compute] Marginal olx, f(x,y) dy X y 3 1

Marginal of Y, 2,65) = Ly, u) aa U dal ५२ - 3 %3D ७.) २५२ 3 - (५२ २५ २ २५ -2 २४२ %3D 3 ५२- २७२ २ ।। 3५२ - 3 ५५२ 1293

Answer 2

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