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Introduction To Mathematical Modelling

Question
CBSEENMA9004008

30 plants were planted in each school out of 12 schools. After a month the number of plants that survived are given below:

School

Number of plants survived

1

22

2

15

3

12

4

24

5

27

6

10

7

13

8

22

9

17

10

9

11

20

12

25

What is the probability of survival of
(i)  more than 20 plants in a school?
(ii)  less than 10 plants in a school?
(iii) exactly 22 plants in a school?

Solution

Total number of schools =12
(i) Number of schools in which more than 20 plants survived = 5
∴ Probability of survival of more than 20 plants in a school equals 5 over 12

(ii) Number of schools in which less than 10 plants survived = 1

∴ Probability of survival of less than 10 plants in a school = 1 over 12

(iii) Number of schools in which exactly 22 plants survived = 2

Probability of survival of exactly 22 plants in a school = 2 over 12 equals 1 over 6.