CUET Mathematics 2026 30th May Shift 1 PYQs

If the probability distribution of a discrete random variable $X$ is given as

X	0	1	2	3	4
P(X)	0.5	2k	3k	3k	2k

Then the value of $k$ is:

Match List - I with List - II.

List - I	List - II
(A) In a binomial distribution, if $n = 10$, $q = 0.25$, then its mean is	(I) 12
(B) If the mean of a binomial distribution is 6 and its variance is 3, then p is	(II) 7.5
(C) In a binomial distribution, the probability of getting a success is $\frac{1}{4}$ and the standard distribution is 3, then its mean is	(III) 16
(D) If the mean and variance of a binomial distribution are 4 and 3 respectively, then the number of trials is	(IV) $\frac{1}{2}$

Choose the correct answer from the options given below :

If the probability distribution of a random variable X is given as

$x_i$	0	1	2	3
$p_i$	$2k^2$	$k^2$	$3k^2$	$k$

Then the mean of X is