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

CUET Mathematics 2025 3 June Shift 2

Algebra

Medium

applied

(A) and (B) only

(A) and (C) only

(B) and (D) only

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

✅ Correct Option: 1

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Mean and variance of a binomial distribution are 6 and 2 respectively. The probability of 2 successes will be

29 May Shift 2

Let A and B be two events. Then which of the following statements are TRUE?

(A) $P(\overline{B}|A) = \frac{P(A \cap B)}{P(A)}$ , provided $P(A) \neq 0$

(B) $P(B') = 1 + P(B)$

(D) $P(A \cap B) = P(A).P(B)$ If A and B are independent events

Choose the correct answer from the options given below:

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If A and B are any two events such that $P(B) = P(A \cap B)$ , then which of the following is correct

CUET Mathematics 2025 3 June Shift 2 PYQs