Let X and Y denote two discrete random variables taking the values in x andy respectively. The collected data over time is represented in the following stochastic model. Are the X and Y independent?...

Let X and Y denote two discrete random variables taking the values in x and
y respectively. The collected data over time is represented in the following stochastic model.

Are the X and Y independent? Explain

Extracted text: P(X = x,Y = y) = f(x,y) y 1 2 3 4 fx(0) = 0 1 0.10 0.05 2 0.05 0.10 0.04 0.01 0.15 0.15 fx(3) =? 0.05 0.25 0.5 4 fy(2) =? 3.