Question: Show work (20 points) The joint probability mass function for random variables X and Y is given below: X =1 X =2 X =3 X

Show work

(20 points) The joint probability mass function for random variables X and Y is given below: X =1 X =2 X =3 X = 4 Y =1 0.05 0.15 0.02 0.05 Y = 2 0.03 0.08 0.05 0.04 Y = 3 0.1 0.1 0.05 0.03 Y = 4 0.05 0.05 0.05 0.1 (a) Give the marginal PMF of X. (b) Determine P(X

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