Question: Let x and y be discrete random variables with the range of X being ( 0 , 5 ) and the range of Y being

Let x and y be discrete random variables with the range of X being (0,5) and the range of Y being (10,20). The joint pmf of X and Y is given by the following table (for example, P{X=0, Y=10} = 0.1):

10 20

0 0.1 0.2

5 0.3. 0.4

determine the correlation coefficient of X and Y (you may use the fact that E[Y]= 16 and var(y)= 24.

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