Electrical Engineering
2026 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE EE 2026 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 64–65 of 65. Imported answers require review unless explicitly marked reviewed.
Question 64
Open questionEENAT2 marksNeeds review
Let X and Y be two real-valued random variables with E(X) = 1, E(Y) = 2, E(X²) = 4, E(Y²) = 9, and E(XY) = 0.9, where E denotes the expectation operator.
The value of α that minimizes E((X − αY)²) is __________ (Round off to one decimal place)
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 65
Open questionEENAT2 marksNeeds review
The integral
evaluates to _________ (Round off to two decimal places)
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer