Eduprobe
Question:
The distance (in km) of 40 engineers from their residence to their place of work were found as follows: 5, 3, 10, 20, 25, 11, 13, 7, 12, 3, 11, 9, 10, 12, 17, 18, 11, 3, 2, 17, 16, 27, 9, 7, 8, 3, 5, 12, 15, 18, 3, 12, 14, 29, 6, 15, 15, 7, 6, 12. What is the empirical probability that an engineer lives: (i) less than 7 km from her place of work?
Solution:
| Distance (in km) | No. of engineers |
|---|---|
| Less than 7 km | 9 |
| More than 7 km | 31 |
| Total | 40 |
Total number of engineers = 40
(i) Number of engineers living less than 7 km from their place of work = 9
P = 9/40
(ii) Number of engineers living more than or equal to 7 km from their place of work = 40 - 9 = 31
P = 31/40
(iii) Number of engineers living within 12 km from her place of work = 0
P = 0/40 = 0