Marks obtained by 50 students from 100 are as follows
Marks
0-34
35-50
51-70
71-90
91-100
Number of student
8
9
14
11
8
Find the probability that a student get marks :
(i) below 34,(ii) between 71-90
(iii) more than 70(iv) less than or equal to 50
(v) above 90.
Answers
Given : Marks obtained by 50 students from 100 are as follows
Marks Number of student
0-34 8
35-50 9
51-70 14
71-90 11
91-100 8
To Find : the probability that a student get marks :
(i) below 34
(ii) between 71-90
(iii) more than 70
(iv) less than or equal to 50
(v) above 90.
Solution
Marks Number of student CF
0-34 8 8
35-50 9 17
51-70 14 31
71-90 11 42
91-100 8 50
Total Students = 50
below 34 marks = 8 students
the probability that a student get marks below 34 = 8/50 = 0.16
(ii) between 71-90 are 11 students
the probability that a student get marks between 71-90 = 11/50 = 0.22
(iii) more than 70
71-90 + 91-100
11 + 8 = 19 students
the probability that a student get marks more than 70 = 19/50 = 0.38
(iv) less than or equal to 50
0-34 a nd 34 - 50
8 + 9 = 17 students
the probability that a student get marks less than or equal to 50 = 17/50 = 0.34
(v) above 90. = 8 students
the probability that a student get marks above 90 = 8/50 = 0.16
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