After all students have left the classroom, a statisticsprofessor notices that four copies of the text were leftunder desks. At the beginning of the next lecture, theprofessor distributes the four books in a completely randomfashion to each of the four students (1, 2, 3, and 4)who claim to have left books. One possible outcome isthat 1 receives 2’s book, 2 receives 4’s book, 3 receiveshis or her own book, and 4 receives 1’s book. This outcomecan be abbreviated as (2, 4, 3, 1).a. List the other 23 possible outcomes.b. Let X denote the number of students who receivetheir own book. Determine the pmf of X.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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.
b. Let X denote the number of students who receive
their own book. Determine the pmf of X.

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