Question 1 - (4 points) X and Y are two random variables that can take on the values 0 or 1. Three pieces of information about how they are distributed are shown below. Calculate the joint distribution of X and Y and fill out the table in the Answer Box below. (Hint: Use the rules of conditional probability) Show all work in the Answer Box. o P(X=0|Y= 0) = 0.25 o P(X= 1|Y= 1) = 0.6 P(Y=0) = 0.2 o

Fig: 1