Please see the problem in the attached document.
a) If P(Y/X) = P(Y) then X and Y are independent,
P(Y=0/X= 0)= P(Y=0)
0.69 ≠ 0.7607
shows that X and Y are not independent.
P(Y=1/X= 0)= P(Y=1)
Hence, we can conclude that x and y are not ...
This solution determines whether variables are independent, and calculates the joint distribution and the marginal distribution.