Answer 4 and 5 with the given information

Suppose X, Y, Z are Boolean random variables and the following table lists the probability of the possible values: Z=1 Y=0 | 1/15 Y=1 | 1/10 1/154/15 2/15 /45 4/45 1/10 Probability of a joint assignment of X, Y, Z can be deduced from this table by simple look up. For example, P(X = 0, Y = 1, Z = 0) = 1/ 10 and P(X = 1, Y = I, Z = 0) = 4/45 4. Is X conditionally independent of Y given Z [a] Yes [b] No 5. What is the value of P (X-01X+Y>0)? [b] 2/3 [c] 5/12 [d] 8/45