A university offers 8 courses, numbered C1, C2, ..., C8. There are 40 students, and each takes three (different) courses, chosen at random from C1..,C8, independent of nicor icor of othor ctudon
A university offers 8 courses, numbered C1, C2, ..., C8. There are 40 students, and each takes three (different) courses, chosen at random from C1..,C8, independent of nicor icor of othor ctudon
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A university offers 8 courses, numbered C1,
C2, ..., C8. There are 40 students, and each
takes three (different) courses, chosen at
random from C1,..,C8, independent of
••..
choices of other students.
1. What is the expected number of students
enrolled in course C1?
2. Are the events “Alice takes C1" and "Alice
takes C2 independent? (Alice is one of the
students). Prove your answer correct.
3. What is the probability that Alice and Bob
have at least one course in common? (Bob
is another student.)
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