Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: For a random variable X which has mean = 10 and variance = 100, the variance of (5x + 10) is 2500. Reason R: Var(ax + b) = Var(x) and so the variance of (ax + b) or Var(5x + 10) is 100. In the light of the above statements, choose the correct answer from the options given below:
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Random variables and standard distributions has come up 173 times in 7 exams since 2005.
This question is on Expectation and variance, part of Random variables and standard distributions in Statistics.
The mean and spread of a random variable, and how they change under transformations and sums.
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Question from the CUET-PG 2023 Shift 2 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.