CUET Mathematics - 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: | PYQs + Solutions

CUET Mathematics 2025 26 May Shift 2

Algebra

Medium

applied

$\frac{1}{8}$

$\frac{1}{4}$

$\frac{1}{2}$

$\frac{3}{8}$

✅ Correct Option: 1

Related questions:

13 May Shift 1

If $y$ is normal distribution random variable with mean $\mu = 10$ and standard deviation $\sigma = 2$ . $z$ 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) $P(X > 16) = 0.9986$

(D) $P(X > 8) = 0.8413$

Choose the correct answer from the options given below:

3 June Shift 2

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

CUET Mathematics 2024 Slot 1

If the random variable $X$ has the following distribution:

$ X $	0	1	2	otherwise
$P(X)$	$k$	$2k$	$3k$	$0$

Match List-I with List-II:

List-I	List-II
(A) $k$	(I) $\frac{5}{6}$
(B) $P(X < 2)$	(II) $\frac{4}{3}$
(C) $E(X)$	(III) $\frac{1}{2}$
(D) $P(1 \leq X \leq 2)$	(IV) $\frac{1}{6}$

CUET Mathematics 2025 26 May Shift 2 PYQs

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