The distances (in km) of 40 female engineers from their residence to their place of work were found as follows: 5 19 7 12 3 10 9 14 10 12 7 2 20 17 8 9 25 18 3 6 11 11 5 15 13 32 12 15 7 17 15 7 12 16 18 6 31 2 3 2 Find the probability that an engineer lives: (i) less than 7 km from her place of work? (ii) at least 7 km from her place of work? (iii) within `1/2` km from her place of work (xi) from her place of work? (xii) at most 15km from her place of work?

Explanation

Total number of engineers =`40`
(i) Number of engineers living less than `7` km from their place of work =`9P= 9/40`
(ii) Number of engineers living more than or equal to `7`km from their place of work =`40−9=31P= 31/40`
(iii)Number of engineers living within `1/2` km from her place of work =`0`,
`P= 0/40`
=`0`