CUET Mathematics - The curve y = f(x) is normal probability curve, then which of the following statements are correct? (A) mean, median and mode of the distribution coincide. (B) the area bounded by the curve y = f(x) and x-axis is one unit. (C) The curve is symmetrical about the line x = , where is the mean. (D) y-axis is an asymptote to the curve. Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 3 June Shift 2

Algebra

Medium

applied

(A), (B) and (C) only

(A), (C) and (D) only

(B) and (D) only

(B), (C) and (D) only

✅ Correct Option: 1

Related questions:

26 May Shift 2

The random variable X has the following probability distribution

X	0	1	2	3
P(X)	a	a	b	b

such that E(x²) = 2E(x), then the value of b 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.

14 May Shift 2

The normal distribution curve is symmetrical about

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

CUET Mathematics 2025 3 June Shift 2 PYQs