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प्रश्न
Determine whether each of the following is a probability distribution. Give reasons for your answer.
| x | 0 | 1 | 2 | 3 | 4 |
| P(x) | 0.1 | 0.5 | 0.2 | –0.1 | 0.3 |
उत्तर
Here, P(X = 3) = –0.1 < 0
Probability for an value of x cannot be negative.
∴ Given distribution is not a probability distribution.
संबंधित प्रश्न
State the following are not the probability distributions of a random variable. Give reasons for your answer.
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| X | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
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2k2 |
7k2 + k |
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(iii) P (X > 6)
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\[\frac{k}{2}\]
|
\[\frac{k}{4}\]
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\[\frac{k}{8}\]
|
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|
\[\frac{5}{18}\]
|
\[\frac{2}{9}\]
|
\[\frac{1}{6}\]
|
\[\frac{1}{9}\]
|
\[\frac{1}{18}\]
|
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\[\frac{5}{8}\]
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