CUET Mathematics 2025 14 May Shift 1 PYQs

For a random variable x, probability distribution P(x) is given by $P(x) = \frac{k}{3}(3-x), x = 0, 1, 2$, then

Match List-I with List-II

List-I	List-II
(A) k is equal to	(i) $\frac{1}{2}$
(B) P(x = 0)	(ii) 1
(C) P(x < 2)	(iii) $\frac{1}{6}$
(D) P(1 < x ≤ 2)	(iv) $\frac{5}{6}$

Choose the correct answer from the options given below:

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 random variable $X$ has the following distribution:

$ X $	0	1	2	otherwise
$P(X)$	$k$	$2k$	$3k$	$0$

Match List-I with List-II:

List-I	List-II
(A) $k$	(I) $\frac{5}{6}$
(B) $P(X < 2)$	(II) $\frac{4}{3}$
(C) $E(X)$	(III) $\frac{1}{2}$
(D) $P(1 \leq X \leq 2)$	(IV) $\frac{1}{6}$