CUET Mathematics - If y is normal distribution random variable with mean = 10 and standard deviation = 2. z is standard normal variable and F(Z) is cumulative distribution function, then which of the following are true? [Given that F(1.5) = 0.9332, F(3) = 0.9986, F(2.25) = 0.9878 and F(1) = 0.8413] (A) P(X < 13) = 0.9332 (B) P(X > 16) = 0.9986 (C) P(12 < X < 14.5) = 0.1465 (D) P(X > 8) = 0.8413 Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 13 May Shift 1

Algebra

Medium

applied

(A) and (D) only

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

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

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

✅ Correct Option: 4

Related questions:

13 May Shift 2

If A and B are two events such that $P(A|B) = P(B|A)$ , and $A \cap B \neq \phi$ then

29 May Shift 2

Match List-I with List-II

If the random variable x has the following distribution:

x	0	1	2	otherwise
P(x)	k	k	2k	0

Choose the correct answer from the options given below:

3 June Shift 2

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) $E(aX+b)= a E(X) + b$

(D) $Var(aX+b)= a Var(X) + b$

Choose the correct answer from the options given below:

CUET Mathematics 2025 13 May Shift 1 PYQs