CUET Mathematics 2026 31st May Shift 2 PYQs

The probability distribution of a discrete random variable X is given as :

x	0	1	2	3	4
P(X=x)	0.1	k	2k	2k	k

The value of K is:

Let X be a random variable. Let E (X) and Var (X) denote the mean and the variance of X respectively. Then match List-I with List-II

List-I	List-II
(A) If Var (X) = $a$, then Var (2X + 3) is	(I) 11$a$
(B) If E (X) = $a$, then E (2X) is	(II) 6$a$
(C) If Var (X) = $a$, then Var(3X - $a$) + Var ($\sqrt{2}x + \beta$) is	(III) 4$a$
(D) If E (X) = $\frac{5a}{12}$, then E (12X + $a$) is	(IV) 2$a$

Choose the correct answer from the options given below:

The normal distribution curve is symmetrical about

[$\mu$ = mean, $\sigma$= standard deviation]