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Find the joint discrete random variable x and y,their joint probability mass function is given by...

Find the joint discrete random variable x and y,their joint probability mass function is given by Px,y(x,y)={k(x+y);x=-2,0,+2,y=-1,0,+1 K>0    0 Otherwise }    2.1 determine the value of constant k,such that this will be proper pmf? 2.2 find the marginal pmf’s,Px(x) and Py(y)? 2.3 obtain the expected values of random variables X and Y? 2.4 calculate the variances of X and Y? Hint:££Px,y(x,y)=1,Px(x)=£Px,y(x,y);Py(y)=£Px,y(. x,y);E[]=£xpx(x);

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