The joint probability mass function of two dimensional random variables (X, Y) is p(x, y) = k(2x + 3y), x = 0, 1, 2 and y = 1,2, 3. Find k. O Find the marginal distributions functions of X and Y Find the conditional distribution function of X given Y = y

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The joint probability mass function of two dimensional random variables
(X, Y) is p(x, y) = k(2x + 3y), x = 0, 1, 2 and y = 1,2, 3.
Find k.
O Find the marginal distributions functions of X and Y
Find the conditional distribution function of X given Y = y
O Find the conditional distribution function of Y given X = x.
O Find P(X + Y > 3).
Transcribed Image Text:The joint probability mass function of two dimensional random variables (X, Y) is p(x, y) = k(2x + 3y), x = 0, 1, 2 and y = 1,2, 3. Find k. O Find the marginal distributions functions of X and Y Find the conditional distribution function of X given Y = y O Find the conditional distribution function of Y given X = x. O Find P(X + Y > 3).
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