(a) List the other 23 possible outcomes. (b) Let x denote the number of students who receive their own book. Determine the pmf of X. (Enter your answers as fractions.) 1 3 4 P(x)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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After all students have left the classroom, a statistics professor notices that four copies of the text were left under desks. At the beginning of the next lecture, the
professor distributes the four books in a completely random fashion to each of the four students (1, 2, 3, and 4) who claim to have left books. One possible outcome is
that 1 receives 2's book, 2 receives 4's book, 3 receives his or her own book, and 4 receives l's book. This outcome can be abbreviated as (2, 4, 3, 1).
(a) List the other 23 possible outcomes.
(b) Let X denote the number of students who receive their own book. Determine the pmf of X. (Enter your answers as fractions.)
1
2
3
4
p(x)
Transcribed Image Text:After all students have left the classroom, a statistics professor notices that four copies of the text were left under desks. At the beginning of the next lecture, the professor distributes the four books in a completely random fashion to each of the four students (1, 2, 3, and 4) who claim to have left books. One possible outcome is that 1 receives 2's book, 2 receives 4's book, 3 receives his or her own book, and 4 receives l's book. This outcome can be abbreviated as (2, 4, 3, 1). (a) List the other 23 possible outcomes. (b) Let X denote the number of students who receive their own book. Determine the pmf of X. (Enter your answers as fractions.) 1 2 3 4 p(x)
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