The joint pdf of a bivariate random variable (X,Y) is given by [Kx²y, x₁ = 1,2; y, = 1,2,3 Px,y (x₁, y₁) =< X,Y 0 otherwise where K is a constant. (a) Find the value of k. (b) Find the marginal pmfs of X and Y.

MATLAB: An Introduction with Applications
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The joint pdf of a bivariate random variable (X,Y) is given by
2
K x j V j
x; = 1,2; y; = 1,2,3
Px,y (x₁, y₁) =
0
otherwise
where K is a constant.
(a)
Find the value of k.
(b) Find the marginal pmfs of X and Y.
Transcribed Image Text:The joint pdf of a bivariate random variable (X,Y) is given by 2 K x j V j x; = 1,2; y; = 1,2,3 Px,y (x₁, y₁) = 0 otherwise where K is a constant. (a) Find the value of k. (b) Find the marginal pmfs of X and Y.
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