Q. 41 Suppose Xi for i = 1, 2, 3 are independent and identically distributed random variables whose probability mass functions are Pr[Xi = 0] = Pr[Xi = 1] = 1/2 for i = 1, 2, 3. Define another random variable Y = X1 X2 ⊕ X3, where ⊕ denotes XOR.
Then Pr[Y = 0 ⎪ X3 = 0] = ____________.
(A) 0.75
(B) 0.50
(C) 0.85
(D) 0.25
Answer: (A)
Explanation:
