GATE CS 2015 Set 1 — Question 47

Numerical answer 2 marks Question 47 2015

Question 47

NAT 2 marks · no negative Probability and Statistics

Suppose \(X_i\) for \(i=1,2,3\) are independent and identically distributed random variables whose probability mass functions are \(\Pr[X_i=0]=\Pr[X_i=1]=1/2\) for \(i=1,2,3\). Define another random variable \(Y=X_1X_2\oplus X_3\), where \(\oplus\) denotes XOR. Then \(\Pr[Y=0\mid X_3=0]=\) ______.

Answers and explanations are free — they just need an account.

Where this question comes from

GATE CS — Computer Science & IT GATE DA — Data Science & AI 2015 Probability and Statistics

Source: GATE 2015 Computer Science and Information Technology, Set 1, Q47 (question number approximate)

All Probability and Statistics questions