The length of time X in hours that a statistics reference bo

The length of time X, in hours, that a statistics reference book on a two-hour reserve at the engineering library is checked out by a randomly selected student has PDF

For books returned after two hours, students are charged a fine of $2.00 plus 6 cents times the number of minutes past the two hours.

a. Let Y = 60X be the amount of time, in minutes, the book is checked out. Find the PDF of Y.

c. Give the mean value and variance of the fine amount expressed in dollars.

Solution