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Introduction To Mathematical Modelling

Question
CBSEENMA9003993

To know the opinion of the students about the subject statistics, a survey of 200 students was conducted. The data is recorded in the following table:

Opinion

Number of students

like

dislike

135

65

Find the probability that a student chosen at random
(i)  likes statistics,
(ii)  does not like it.

Solution

Total number of students = 200

(i) Number of students who like statistics = 135 Probability that a student chosen at random like statistics = 135 over 200 equals 27 over 40

(ii) Number of students who do not like statistics = 65
Probabi lity that a student chosen at random does not like it = 65 over 200 equals 13 over 40.

Aliter: Probability that a student chosen at andom does like statistics

= 1 – probability that a student chosen at random likes statistics
equals 1 minus 27 over 40 equals 13 over 40.