CUET · MATHS · PYQ PAPER 2023
If the probability distribution of a random variable X is as given below :
| X | -1 | 0 | 1 | 2 | 3 |
| P(X) | K | \(\frac{1}{5}\) | 2K | \(\frac{3}{10}\) | K |
- A \(\frac{3}{8}\)
- B \(\frac{1}{4}\)
- C \(\frac{5}{8}\)
- D \(\frac{1}{8}\)
Answer & Solution
Correct Answer
(D) \(\frac{1}{8}\)
Step-by-step Solution
Detailed explanation
\( \sum P(X) = 1 \) \( K + \frac{1}{5} + 2K + \frac{3}{10} + K = 1 \) \( 4K + \frac{2}{10} + \frac{3}{10} = 1 \) \( 4K + \frac{5}{10} = 1 \) \( 4K + \frac{1}{2} = 1 \) \( 4K = 1 - \frac{1}{2} = \frac{1}{2} \) \( K = \frac{1}{8} \)
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