Engineering Mathematics · Probability and Statistics
Official IIT answer key · IIT Madras · Audited Aug 2026
GATE CSE 2011 Q33 · MCQ · 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 →Consider a finite sequence of random values X = [x1, x2, , xn]. Let x be the mean and x be the standard deviation of X. Let another finite sequence Y of equal length be derived from this as yi = a * xi + b, where a and b are positive constants. Let y be the mean and y be the standard deviation of this sequence. Which one of the following statements is INCORRECT?
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Independent practice explanation verified by the GateAI team. GATE is conducted by the IITs; question text follows the official paper.
