E(X)=0⋅41+1⋅81+2⋅81+3⋅21=815. E(X2)=0+1⋅81+4⋅81+9⋅21=841. Variance =E(X2)−(E(X))2=841−64225=64328−225=64103.
The probability distribution of a random variable X is | x | 0 | 1 | 2 | 3 | | --- | --- | --- | --- | --- | | P(X = x) | 1 4 | 1 8 | 1 8 | 1 2 | The…
CUET UG 2022 — Mathematics Algebra
2022mcqmedium
The probability distribution of a random variable X is
| x | 0 | 1 | 2 | 3 |
|---|---|---|---|---|
| P(X = x) | 41 | 81 | 81 | 21 |
The variance of X is
Official previous-year question
Held on 10 Aug 2022 · Verified 13 Jul 2026.
Options
- A
6431
- B
6415
- C
64103
- D
1
Did you get this right?
Sign in to track your attempts and accuracy.
Your note
Sign in to keep a private note on this question. Nothing you write is ever public.
CUET UG Algebra in other years
More CUET UG Algebra questions
If f(x) = 2x + 3, then f⁻¹(x) is:
2026easy
If $\vec{a}$ is a unit vector perpendicular to both the vectors $\vec{b} = \hat{j} + \hat{2k}$ and $\vec{c} = \hat{i} + 2\hat{j}$, then $\hat{a}$ is equal to
2025medium
If the roots of the equation x² - 5x + k = 0 are in the ratio 2:3, then the value of k is:
2025medium
A function $f: \mathbb{R} \rightarrow \{x \in \mathbb{R}: -1 < x < 1\}$ is defined as $f(x) = \frac{x}{1+|x|}$, then $f$ is:
2025medium
If A is a square matrix such that $A^2 = A$ and I is the identity matrix of same order as A, then the value of $(A-2I)^2 - (2A + I)^2 + 11A$ is:
2025medium
Other Mathematics topics for CUET UG
Keep practicing Algebra
Work through every CUET UG Algebra PYQ, year by year.