Consider the following discrete distribution X 1 P(X=x) 0.02 2 0.15 3 4 5 0.08 0.25 0.05 € 0.-

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**Discrete Distribution Example**

Consider the following discrete distribution:

| x   | 1   | 2   | 3   | 4   | 5   | 6   | 7   | 8   | 9   | 10  |
|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|
| P(X=x) | 0.02 | 0.15 | 0.08 | 0.25 | 0.05 | 0.10 | 0.20 | 0.05 | 0.03 | 0.07 |

To generate 5 observations from the distribution, use the following random numbers: 

**U:** 0.234, 0.678, 0.021, 0.532, 0.339.

This example demonstrates how to utilize random numbers for generating observations based on given probabilities.
Transcribed Image Text:**Discrete Distribution Example** Consider the following discrete distribution: | x | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----| | P(X=x) | 0.02 | 0.15 | 0.08 | 0.25 | 0.05 | 0.10 | 0.20 | 0.05 | 0.03 | 0.07 | To generate 5 observations from the distribution, use the following random numbers: **U:** 0.234, 0.678, 0.021, 0.532, 0.339. This example demonstrates how to utilize random numbers for generating observations based on given probabilities.
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The probability mass function of a discrete probability distribution is given.

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