8. 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 ½ km from her place of work?
Solution: 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 numbers of engineers = 40 (i) Number of engineers living less than 7 km from their place of work = 9 ,the probability that an engineer lives less than 7 km from her place of work = 9/40 (ii) Number of engineers living more than or equal to 7 km from their place of work = 40-9 = 31 ,probability that an engineer lives more than or equal to 7 km from her place of work = 31/40 (iii) Number of engineers living within ½ km from their place of work = 0 ∴, the probability that an engineer lives within ½ km from her place of work = 0/40 = 0
