Textbook ExpertVerified Tutor
26 Oct 2021
Given information
At a college, 72% of courses have final exams and 46% of courses require research papers. Suppose that 32% of courses
have a research paper and a final exam. Let F be the event that a course has a final exam. Let R be the event that a course
requires a research paper.
Step-by-step explanation
Step 1.
Let and be two events, then we have
Let the events be
Event that a course has a final exam,
Event that a course has a research paper.
,
,
,
.
We need to calculate the probability that a course has neither a final exam nor a research project
Therefore,
,
.
Substituting the values, we get
,
.
Hence, the probability that a course has neither a final exam nor a research project is .
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