Consider two random variables X and Y with joint PMF (probability Mass Function) in the table below. Figure 1 shows P(XY)(x,y).Table 1 Joint PMF of X and Y in Problem 1.Figure 1 Joint PMF of X and Y (in Problem 1).a) Find P(X=0,Y<=1).b) Find the marginal PMFs of X and Y.c) Find P(Y=1|X=0).d) Are X and Y independent?Consider two random variables X and Y with joint PMF (probability Mass Function) in the table below. Figure 1 shows P(XY)(x,y).Table 1 Joint PMF of X and Y in Problem 1.Figure 1 Joint

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