A Universiy took a poll of its graduating students. 30% of students said they to
ID: 3388309 • Letter: A
Question
A Universiy took a poll of its graduating students. 30% of students said they took a humanities course, 48% of students said they took a economics course and 20% said they took both a humanities and an economics course.
(a) What is the probability that a randomly selected graduating student took a humanities or an economics course?
(b) What is the probability that a randomly selected graduating student took a humanities but not an economics course?
(c) What is the probabiity that a randomly selected graduating student did not take a humanities nor an economics course?
(d) What is the probability that a randomly selected graduating student took exactly one of these types of courses?
Explanation / Answer
a) the probability that a randomly selected graduating student took a humanities or an economics course
= P(AUB)
= 0.30+0.48-0.20 = 0.58
b) the probability that a randomly selected graduating student took a humanities but not an economics course
= P(A-B)
= P(A)-P(AB)
=0.30-0.20
=0.10
c) the probabiity that a randomly selected graduating student did not take a humanities nor an economics course
= P(A'B')
= 1-{P(AUB)}
= 0.42
d) the probability that a randomly selected graduating student took exactly one of these types of courses
= P(A-B)+P(B-A)
= 0.38
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