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Introduction To Mathematical Modelling

Question
CBSEENMA9003992

Marks (out of 100)

Number of students

0-20

7

20-30

10

30-40

10

40-50

20

50-60

20

60-70

15

70–above

8

Total

90

(i)  Find the probability that a student obtained less than 20% in the mathematics test.
(ii)  Find the probability that a student obtained marks 60 or above.

Solution

Total number of students = 90

(i) Number of students obtaining less than 20% in the mathematics test = 7
∴ Probability that a student obtained less than 20% in mathematics test = 7 over 90.
(ii) Number of students obtaining marks 60 or above = 15 + 8 = 23
Probability that a student obtained marks 60 or = 23 over 90.