One more exercise of discrete random variable probability distribution similar to Q8 in the week17 lecture recording. We have two fair 4-sided dice, indexed by i =a,b. Each die has sides labelled 1, 2, 3 and 4. We roll the two dice independently, one roll for each die. For i =a,b, let the random variable Xi represent the result of the ith die, so that P(Xi=1)=P(Xi=2)=P(Xi=3)=P(Xi=3)= (1/4). Define X=Xa -Xb , Y= 3X+3 1. P(X=0)=1/4 Your last answer was interpreted as follows: 2. P(X=-1)= 1/8 Your last answer was interpreted as follows: 3. E(X)= 4. Var(X) = 5. E()= 6. Var(Y) =