CUET · MATHS · PYQ PAPER 2025
\(A\) random variable \(X\) has the following probability distribution:
| X | 0 | 1 | 2 | 3 |
| P(X) | 0.2 | 0.1 | 0.3 | 0.4 |
- A 4.8
- B 1.29
- C 5.1
- D 4.9
Answer & Solution
Correct Answer
(B) 1.29
Step-by-step Solution
Detailed explanation
\( E(X) = (0 \cdot 0.2) + (1 \cdot 0.1) + (2 \cdot 0.3) + (3 \cdot 0.4) = 0 + 0.1 + 0.6 + 1.2 = 1.9 \) \( E(X^2) = (0^2 \cdot 0.2) + (1^2 \cdot 0.1) + (2^2 \cdot 0.3) + (3^2 \cdot 0.4) = 0 + 0.1 + 1.2 + 3.6 = 4.9 \)…
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