Success TrackerSuccess Tracker
Log inSign up

GATE CS 2026 Set 1 — Question 58

Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.
NAT+2 / -0EasyExpectation & VarianceProbability & StatisticsEngineering Mathematics

Engineering Mathematics → Probability & Statistics → Expectation & Variance

Last updated

Question

Let XX be a random variable which takes values in the set {1,2,3,4,5,6,7,8}\{1, 2, 3, 4, 5, 6, 7, 8\}.
Further, Pr(X=1)=Pr(X=2)=Pr(X=5)=Pr(X=7)=16Pr(X = 1) = Pr(X = 2) = Pr(X = 5) = Pr(X = 7) = \frac{1}{6} and
Pr(X=3)=Pr(X=4)=Pr(X=6)=Pr(X=8)=112Pr(X = 3) = Pr(X = 4) = Pr(X = 6) = Pr(X = 8) = \frac{1}{12}.
The expected value of XX, denoted by E[X]E[X], is equal to ___________. (rounded off to two decimal places)
Your answer

Enter a number. Decimals, negative values and scientific notation are accepted.

The solution stays hidden until you check.

Continue learning with Success Tracker

A step still unclear? Work through it with support

Use Success Tracker to ask about the reasoning, then try another GATE CS question to check your understanding.

AI-powered practice· Unlimited practice on eligible plans
PYQs with solutions
Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
Practice that adapts
Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
AI doubt support
Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.

Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.

Start with a free accountView plans and allowances

This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.

More questions on Probability & Statistics

2026 Set 2 Q3A day can only be cloudy or sunny. The probability of a day being cloudy is 0.50.5, independent of…2026 Set 2 Q5‘When it is raining, peacocks dance.’ Based only on this sentence, which one of the following…2026 Set 2 Q8Figures (i) and (ii) represent intercity highway systems. The black dots represent cities and the…2026 Set 1 Q10An unbiased six-faced dice whose faces are marked with numbers 1, 2, 3, 4, 5, and 6 is rolled twice…2026 Set 2 Q10An unbiased six-faced dice whose faces are marked with numbers 1, 2, 3, 4, 5, and 6 is rolled twice…