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 32 17 16 2
7 9 7 8 3 5 12 15 18 3
12 14 2 9 6 15 15 7 6 12
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?
Answer (i)
Let E be the event that engineer lives less than 7 km from her place of work.
P(E) = (Number of engineers living less than 7 km from their workplaces / Total number of engineers)
Answer (ii)
Let F be the event that engineer lives more than or equal to 7 km from her place of work.
P(F) = (Number of engineers living more than or equal to 7 km from their workplaces / Total number of engineers)
Answer (iii)
Let G be the event that engineer lives within
km from her place of work.
P(G) = (Number of engineers living within
km from their workplaces / Total number of engineers)
Leave a Reply