CUET · MATHS · PYQ PAPER 2023
A random variable \(X\) has the following probability distribution
| x | -2 | -1 | 0 | 1 | 2 | 3 |
| p | 0.1 | k | 0.2 | 2k | 0.3 | k |
Then the mean of X is :
- A 0.3
- B 0.8
- C 0.6
- D 0.7
Answer & Solution
Correct Answer
(B) 0.8
Step-by-step Solution
Detailed explanation
\( \sum P(X=x) = 1 \) \( 0.1 + k + 0.2 + 2k + 0.3 + k = 1 \) \( 0.6 + 4k = 1 \) \( 4k = 0.4 \) \( k = 0.1 \) \( E[X] = \sum x P(X=x) \) \( E[X] = (-2)(0.1) + (-1)(0.1) + (0)(0.2) + (1)(2 \times 0.1) + (2)(0.3) + (3)(0.1) \) \( E[X] = -0.2 - 0.1 + 0 + 0.2 + 0.6 + 0.3 \)…
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