Consider the joint probability distribution:

Y

1 , 2

x(0) 0.15 , 0.40

x(1) 0.10 , 0.35

a) Compute the marginal probability distributions for X and Y.

b) Compute the probability that x=0, given that y=1.

c) Compute the covariance between X and Y.

(Note: normally the X is in between 0 and 1 but since I cannot do tables on here or send a photo of the exercise I put it like this, hope someone will understand it and manage to solve it somehow)