CBSE Notes, Lectures

CBSE - Mathematics - Probability

Probability

NCERT Exercise Exercise 15.1

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 1 / 2 km from her place of work?

Total numbers of engineers = 40
(i) Numbers of engineers living less than 7 km from her place of work = 9
Required probability = 9/40

(ii) Numbers of engineers living less than 7 km from her place of work = 40 - 9 = 31
Required probability = 31/40

(iii) Numbers of engineers living less than 7 km from her place of work = 0
Required probability = 0/40 = 0

.