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. 1234,1243,1324,1342,1423,1432,2134,2143,2314,2341,2413,2431 (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 p(x) 0.38 0.33 Need Help? Read It 2 0.25 3 4 0.04