Consider the following joint probability distribution for uncertain quantities X and Y:

a. Calculate P (Y = 2), P (Y = 2 | X = 2), P (Y = 2 | X = 2), P (Y = 2 | X = 0)
b. Calculate P (X = 2), P (X = 2 | Y = 2), P (X = 2 | Y = 0)
c. Are X and Y dependent or independent? How would you describe the relationship between X and Y?

Transcribed Image Text:

PiX_-2 and Y 2) 0.2 P(X 1 and Y = 1) 0.2 P(X 0 and Y 0) 0.2 P(X= 1 and Y = 1) 0.2 P(X 2 and Y-2) 0.2