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Question
The probability function of a random variable X is given by
p(x) = `{{:(1/4",", "for" x = - 2),(1/4",", "for" x = 0),(1/2",", "for" x = 10),(0",", "elsewhere"):}`
Evaluate the following probabilities
P(X < 0)
Chart
Sum
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Solution
| X | – 2 | 0 | 10 |
| P(X = x) | `1/4 | `1/4` | `1/2` |
P(x < 0) = P(x = – 2) = `1/4`
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Chapter 6: Random Variable and Mathematical expectation - Miscellaneous problems [Page 143]
