Exercise 5 After all students have left the classroom, a statistics professor notices that four copies of the text were left under desks. As 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) .5a), how many possible outcomes? 5b), let X denote the number of students who receive their own book. For the probability mass function for X, find the probability when X=0, P(X)=?. [answer should be in decimal form, rounded to 3 decimal places] 50), let X denote the number of students who receive their own book. For the probability mass function for X, find the probability when X=1, P(X)=?. [answer should be in decimal form, rounded to 3 decimal places] 5d), let X denote the number of students who receive their own book. For the probability mass function for X, find the probability when X=2, P(X)=?. [answer should be in decimal form, rounded to 2 decimal places] 5e), let X denote the number of students who receive their own book. For the probability mass function for X, find the probability when X=3, P(X)=?. [answer should be in decimal form, rounded to 1 decimal place] 5f), let X denote the number of students who receive their own book. For the probability mass function for X, find the probability when X=4, P(X)=?. [answer should be in decimal form, rounded to 4 decimal places] 59), find P(X