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प्रश्न
The probability distribution of a random variable X is given below:
| X | 0 | 1 | 2 | 3 |
| P(X) | k | `"k"/2` | `"k"/4` | `"k"/8` |
Determine the value of k.
उत्तर
We know that P(0) + P(1) + P(2) + P(3) = 1
⇒ `"k" + "k"/2 + "k"/4 + "k"/8` = 1
⇒ `(8"k" + 4"k" + 2"k" + "k")/8` = 1
⇒ 15k = 8
∴ k = `8/15`
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