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After all students have left the classroom, a statistics professor notices that four copies of th text were left under desks the beginning of the next lecture, t professor distributes the four books in a completely random fashion to each of the four students (1, 2, 3, and 4) who claim 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 1's book. This outcome can be abbreviated as (2, 4, 3, 1). (a) List the other 23 possible outcomes. (1234) (1 243) (1342) (1 324) (1432) (1 423) (2143) (2134) (2341) (2314) (2431)(2x (b) Let X denote the number of students who receive their own book. Determine the pmf of X. (Enter your answers as fractions.) 1 0 3 X p(x) 0.375 0.333 0.25 0 0.041666 x

After all students have left the classroom, a statistics professor notices that four copies of th text were left under desks the beginning of the next lecture, t professor distributes the four books in a completely random fashion to each of the four students (1, 2, 3, and 4) who claim 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 1's book. This outcome can be abbreviated as (2, 4, 3, 1). (a) List the other 23 possible outcomes. (1234) (1 243) (1342) (1 324) (1432) (1 423) (2143) (2134) (2341) (2314) (2431)(2x (b) Let X denote the number of students who receive their own book. Determine the pmf of X. (Enter your answers as fractions.) 1 0 3 X p(x) 0.375 0.333 0.25 0 0.041666 x

MATLAB: An Introduction with Applications
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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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 1's book. This outcome can be abbreviated as (2, 4, 3, 1). (a) List the other 23 possible outcomes. (1 2 3 4) (1 2 4 3) (1 3 4 2) (1 3 2 4) (1 4 3 2) (1 4 2 3) (2 1 4 3) (2 1 3 4) (2 3 4 1) (2 314) (2431) (2 × (b) Let X denote the number of students who receive their own book. Determine the pmf of X. (Enter your answers as fractions.) 0 1 2 3 4 X p(x) 0.375 ✓ 0.333 0.25 0 0.041666 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 1's book. This outcome can be abbreviated as (2, 4, 3, 1). (a) List the other 23 possible outcomes. (1 2 3 4) (1 2 4 3) (1 3 4 2) (1 3 2 4) (1 4 3 2) (1 4 2 3) (2 1 4 3) (2 1 3 4) (2 3 4 1) (2 314) (2431) (2 × (b) Let X denote the number of students who receive their own book. Determine the pmf of X. (Enter your answers as fractions.) 0 1 2 3 4 X p(x) 0.375 ✓ 0.333 0.25 0 0.041666 X
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