Estimate probabilities from grouped continuous frequency data
The table is a grouped record of occupancy times recorded for a group of spaces
Let X denote the quantity in the table, measured in hours
| Class interval (hours) | Frequency |
|---|---|
| \(0\le x < \frac{3}{2}\) | 31 |
| \(\frac{3}{2}\le x < 3\) | 24 |
| \(3\le x < \frac{9}{2}\) | 17 |
| \(\frac{9}{2}\le x < 6\) | 10 |
Use the grouped table as an approximate probability model. The table assigns frequencies to whole class intervals. At a class boundary, changing strict to non-strict endpoint notation does not change the class count
The event to use is \(0 \le X \le \frac{3}{2}\)