Question

At a college, 71% of courses have final exams and 46% of courses require research papers....

At a college, 71% of courses have final exams and 46% of courses require research papers. Suppose that 31% of courses have a research paper and a final exam.

part a. Find the probability that a course has a final exam or a research paper.

part b. Find the probability that a course has neither of these two requirements.

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Answer #1

Solution :

(a)

The probability that a course has a final exam or a research paper is

= P(final exams or research paper)

= P(final exams ) + P(research paper) - P(final exams and research paper)

= 0.71 + 0.46 - 0.31

= 0.86

(b)

The probability that a course has neither of these two requirements is ,

= P(neither final exams or research paper)

= 1 - 0.86

= 0.14

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