Exercise: Average grade points of 100 randomly selected AMU Mechanical students (2014 E.C graduates).
Below 3points
Male=25
female=20
3points & above
male=30
female=25
Randomly select one student from 100 students. find the probability that this student
a. will be a male?
b. score 3points & above?
c. will be a male given that a student has scored 3points & above.
d. will score below 3points given that a student has been female?
To find the probability for each question, we need to divide the number of favorable outcomes by the total number of possible outcomes.
a. The probability that the student will be a male is given by:
Number of male students / Total number of students
= 25 / 100
= 0.25
b. The probability that the student will score 3 points & above is given by:
Number of students who scored 3 points & above / Total number of students
= (30 + 25) / 100
= 0.55
c. The probability that the student will be a male given that they have scored 3 points & above is given by:
(Number of male students who scored 3 points & above) / (Number of students who scored 3 points & above)
= 30 / (30 + 25)
= 0.545
d. The probability that the student will score below 3 points given that they are female is given by:
(Number of female students who scored below 3 points) / (Number of female students)
= 20 / 20
= 1