Total no. of engineers = 40

Let us arrange the data in ascending order as follows :

2, 2, 3, 3, 3, 5, 5, 6, 6, 7, 7, 7, 7, 8, 9, 9, 10, 10, 11, 11, 12, 12, 12, 12, 12, 13, 14, 15, 15, 15, 16, 17, 17, 18, 18, 19, 20, 25, 31, 32.

(i) P (an engineer lives less than 7 km from her place of work)

= No. of engineers who live less than 7 km from their place of work / Total no. of engineers = 9/ 40

(ii) P (an engineer lives more than or equal to 7 km from her work place)

= No. of engineers who live more than or equal to 7 km from their work place / Total no. of engineers = 31/ 40

(iii) P (an engineer lives within 1/ 2 km from her place of work)

= No. of engineers who live within km from their place of work 2 / 1Total no. of engineers

= 0/ 40 = 0