Given constants a and b, what is the variance of the expression a + bX?

RANDOM VARIABLE AND PROBABILITY DISTRIBUTIONS MCQs for PPSC, FPSC, NTS, and Pakistan government job tests. Select an option below, then read the explanation.

RANDOM VARIABLE AND PROBABILITY DISTRIBUTIONS

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Subject
RANDOM VARIABLE AND PROBABILITY DISTRIBUTIONSstatistics-mcqs › random-variable-and-probability-distributions
Published
22 May 2019
Last updated
28 May 2026

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Explanation

The variance of a linear transformation a + bX is given by b squared times the variance of X because adding a constant a does not affect variance, and scaling by b scales the variance by b squared.

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