Question: 5. (5 points) Random variables X and Y have the joint PMF given below. XY 1 2 3 1 0.1 0.2 0.1 I 2

5. (5 points) Random variables X and Y have the joint PMF

5. (5 points) Random variables X and Y have the joint PMF given below. X\Y 1 2 3 1 0.1 0.2 0.1 I 2 0.2 0.1 0.3 (a) Find the expected values of X and Y, respectively. (b) Find the conditional PMF of Y given X = 2. (c) Find the correlation coefficient Pay of X and Y.

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