The distances (in km) of 30 female 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 32 17 16 2 12 14 2 9 6 15 15 7 6 2 Find the probability that an engineer lives: less than 7 km from here place of work? at least 7km from her place of work? within `1/2k m` from her place of work? at most 15km from her place of work?

Explanation

total number of engineers=`30`
(i)P(that an engineer lives less than 7 km from her place of work)=`7/30`
(ii)P(that an engineer lives at least 7km from her place of work)=`23/30`
(iii)P(that an engineer lives within 1/2 km from her place of work)=`0/30=0`
(iv)P(that an engineer lives at most 15km from her place of work)=`21/30=7/10=0.7`