CUET Mathematics 2025 19 May Shift 1 PYQs

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:

If the difference between mean and variance of a Binomial distribution is 1 and the difference of their squares is 5, then the probability of success is

If A and B are two events such that $P(A|B) = P(B|A)$, and $A \cap B \neq \phi$ then