A Student Taking Five Courses Keeps a Record of the Number

True/False

A student taking five courses keeps a record of the number of assignments due each day in all her courses. Over the course of the 60-day semester she finds on 20 days no assignments are due, on 15 days an assignment is due in one course, on 15 days an assignment is due in two courses, on 9 days an assignments is due in three courses and once during the semester she has an assignment due in 4 courses. If X is the number of assignments due on a day selected at random from the semester, find E(X).
Is $E ( X ) = 0 \cdot \frac { 1 } { 3 } + 1 \cdot \frac { 1 } { 4 } + 2 \cdot \frac { 1 } { 4 } + 3 \cdot \frac { 3 } { 20 } + 4 \cdot \frac { 1 } { 60 }$ the correct answer?