Question: Explain the difference between mutually exclusive and independent events. How does the concept of independence relate to conditional probability? Give an example of dependence and
Explain the difference between mutually exclusive and independent events.
How does the concept of independence relate to conditional probability?
Give an example of dependence and conditional probability using the class survey data. Frequency table results for Age:
Count = 108
| Age | Frequency | Relative Frequency |
|---|---|---|
| 10 to 20 | 28 | 0.25925926 |
| 20 to 30 | 49 | 0.4537037 |
| 30 to 40 | 25 | 0.23148148 |
| 40 to 50 | 5 | 0.046296296 |
| 60 to 70 | 1 | 0.0092592593 |
Frequency table results for Height:
Count = 90
| Height | Frequency | Relative Frequency |
|---|---|---|
| 45 to 50 | 1 | 0.011111111 |
| 50 to 55 | 1 | 0.011111111 |
| 55 to 60 | 3 | 0.033333333 |
| 60 to 65 | 38 | 0.42222222 |
| 65 to 70 | 31 | 0.34444444 |
| 70 to 75 | 15 | 0.16666667 |
| 75 to 80 | 1 |
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