Question: The random variables X and Y have a joint distribution given by the table below: X=-1 x=0 x=1 y=2 1/10 1/10 2/10 y=3 0 1/10

The random variables X and Y have a joint distribution given by the table below: X=-1 x=0 x=1 y=2 1/10 1/10 2/10 y=3 0 1/10 1/10 y=4 2/10 2/10 0 Please give your answers to 1 decimal place. Part a) Find the marginal distributions of X and Y. What is P(X=0)? Part b) Find the expected value of X. Part c) Find the expected value of Y. Part d) Find the probability mass function of Z = X+Y. What is P(Z=3)

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