CUET Mathematics - If we take 8 identical slips of paper and write the number 0 on one of them, the number 1 on three of the slips, the number 2 on three of the slips and the number 3 on one of the slips. These slips are folded, put in a box and roughly mixed. One slip is drawn at random from the box. If X is the random variable denoting the number written on the drawn slip, the variance of X is: | PYQs + Solutions

CUET Mathematics 2025 14 May Shift 2

Algebra

Medium

applied

1/4

3/4

3/2

✅ Correct Option: 2

Related questions:

29 May Shift 2

Let x denotes the number of heads in a simultaneous toss of three coins, then $P(0 < x \leq 3)$

14 May Shift 1

The probability distribution of the random variable X is given by

X	0	1	2	3
P(X)	0.2	k	2k	2k

The variance of the random variable X is

16 May Shift 1

The random variable $x$ has a probability distribution $p(x)$ of the form

$p(x = r) = \begin{cases} r - k, & \text{if } 2 \le r \le 4, \\ 0, & \text{otherwise,} \end{cases}$

where $r \in \mathbb{N} \cup {0}$ and $k \in \mathbb{R}^+$ , where $\mathbb{R}^+$ is the set of natural numbers.

Then:

(A) $k = \frac{1}{9}$

(B) $P(2 \le x \le 3) = \frac{1}{2}$

(D) $P(x > 1) = \frac{7}{9}$

Choose the correct answer from the options given below.

CUET Mathematics 2025 14 May Shift 2 PYQs