CUET · MATHS · PYQ PAPER 2023
The mean of the following probability distribution is:
| X = x | P(X = x) |
| 0 | \(\frac{1}{4}\) |
| 1 | \(\frac{1}{2}\) |
| 2 | \(\frac{1}{4}\) |
- A 1
- B 2
- C 3
- D 4
Answer & Solution
Correct Answer
(A) 1
Step-by-step Solution
Detailed explanation
\( E(X) = \sum x \cdot P(X=x) \) \( E(X) = (0 \cdot \frac{1}{4}) + (1 \cdot \frac{1}{2}) + (2 \cdot \frac{1}{4}) \) \( E(X) = 0 + \frac{1}{2} + \frac{2}{4} \) \( E(X) = \frac{1}{2} + \frac{1}{2} \) \( E(X) = 1 \)
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