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Which of the following statements are correct ? (A) var(aX + b) = a^2 var(X) (B) var(X) = E(X^2) - E(X)^2 (C) E(aX + b) = aE(X) + b (D) E(X) =…

CUET UG 2023 — Mathematics Applied-Mathematics

2023mcqeasy

Which of the following statements are correct ?
(A) var(aX+b)=a2var(X)\text{var}(aX + b) = a^2 \text{var}(X)var(aX+b)=a2var(X)
(B) var(X)=E(X2)−{E(X)}2\text{var}(X) = E(X^2) - \{E(X)\}^2var(X)=E(X2)−{E(X)}2
(C) E(aX+b)=aE(X)+bE(aX + b) = aE(X) + bE(aX+b)=aE(X)+b
(D) E(X)=∑i=1npixi2\displaystyle E(X) = \sum_{i=1}^{n} p_i x_i^2E(X)=i=1∑n​pi​xi2​
Choose the correct answer from the options given below :

Official previous-year question

Held on 30 May 2023 · Verified 13 Jul 2026.

Options

  1. A

    (A), (C) Only

  2. B

    (A), (B) Only

  3. C

    (A), (B), (C) Only

  4. D

    (A), (C), (D) Only

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