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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

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?

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