CUET Mathematics - If X is a random variable and a, b are real numbers, then which of the following statements are correct? (A) E[aX+b] = a E(X) + b (B) Var (aX + b) = a^2 Var (X) + b (C) Var (aX + b) = a Var (X) (D) Var (X) = E(X^2) - [E(X)]^2 Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 15 May Shift 2

Algebra

Medium

applied

(A), (B) and (D) only

(A) and (D) only

(B) and (C) only

(A), (C) and (D) only

✅ Correct Option: 2

Related questions:

14 May Shift 1

Let $F(z)$ be the cumulative density function of the standard normal variate $z$ , then which of the following are correct?

(A) $F(z) = \frac{1}{\sqrt{2\pi}} \int_{-\infty}^z e^{-\frac{t^2}{2}} dt$ , $-\infty < z < \infty$

(B) $F(-z) = 1 - F(z)$

(D) $F(\infty) = 1$

Choose the correct answer from the options given below:

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The probability of not getting 53 Sundays in a leap year is

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Let X denotes the number of doublets obtained in 3 throws of a pair of dice.

Match List-I with List-II

Choose the correct answer from the options given below:

CUET Mathematics 2025 15 May Shift 2 PYQs