Refer to Q.2, Exercise 14.2. What is the empirical probability that an engineer lives:

(i) Less than 7 km from her place of work?

(ii) More than or equal to 7 km from her place of work?

(iii) Within � km from her place of work?

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 31 19 10 12 17 18 11 3 2 17 16 2 7 9 7 8 3 5 12 15 18 3 12 14 2 9 6 15 15 7 6 12

Total number of engineers = 40

(i) Number of engineers living less than 7 km from their place of work = 9

Hence,

Probability of engineers living less than 7 km from their place of work will be,

(ii) Number of engineers living more than 7 km from their place of work = 40 – 9

= 31

Hence,

Probability of engineers living more than 7 km from their place of work will be,

(iii) Number of engineers living within � km from her place of work = 0

Hence,

Probability of engineers living within � km from her place of work would be,