Question

The distance (in km) of 40 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

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 8 km from her place of work?

(ii) More than or equal to 8 km from her place of work?

(iii) More than 30 km from her place of work? ​

Answer 1

Distance (in km.) No. of engineers

Less than 7 km. 9

More than 7 km. 31

Total 40

Total number of engineers =40

(i) Number of engineers living less than 7km from their place of work =9

P=

40

9

(ii) Number of engineers living more than or equal to 7km from their place of work =40−9=31

P=

40

31

(iii) Number of engineers living within

2

1

km from her place of work =0

P=

40

0

=0