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Question
A random variable X has the following probability distribution:
| X | 1 | 2 | 3 | 4 |
| P(X) | `1/3` | `2/9` | `1/3` | `1/9` |
1hen, the mean of this distribution is ______
Options
`9/20`
`40/9`
`20/9`
`9/40`
MCQ
Fill in the Blanks
Solution
A random variable X has the following probability distribution:
| X | 1 | 2 | 3 | 4 |
| P(X) | `1/3` | `2/9` | `1/3` | `1/9` |
1hen, the mean of this distribution is `underline(20/9)`.
Explanation:
E(X) = `sumx_1.P(x_i)`
= `1(1/3) + 2(2/9) + 3(1/3) + 4(1/9)`
= `20/9`
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Types of Random Variables
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