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.
CUET UG 2022 — Mathematics Algebra
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
Held on 10 Aug 2022 · Verified 13 Jul 2026.
6431
6415
64103
1
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