Engineering Mathematics · Probability and Statistics
Official IIT answer key · IIT Roorkee · Audited Aug 2026
GATE CSE 2026 Set 1 Q58 · NAT · 2 marks
Key concept
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Topic notes
Probability and Statistics in GATE CS is consistently tested with 2 to 4 questions per year, spanning fundamental combinatorics, conditional probability, Bayes' theorem, discrete and continuous random variables, and expectation/variance properties. A notable proportion of questions require setting up a discrete probability model (urn/coin/dice experiments or bit strings) or computing expectations using linearity of expectation and integration over piece-wise uniform intervals. The question mix favors NAT and conceptual MCQ/MSQ formats with an emphasis on exact algebraic reasoning rather than heavy numerical statistical testing.
Full Probability and Statistics guide →Let X be a random variable which takes values in the set \1, 2, 3, 4, 5, 6, 7, 8\. Further, (X = 1) = (X = 2) = (X = 5) = (X = 7) = 16 and (X = 3) = (X = 4) = (X = 6) = (X = 8) = 112. The expected value of X, denoted by E[X], is equal to … (rounded off to two decimal places)
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Independent practice explanation verified by the GateAI team. GATE is conducted by the IITs; question text follows the official paper.
