Alex is browsing through the Math section in Penn's Library. Let X be a nonnegative random variable representing the publication year of each book in the section. Let Y be a nonnegative random variable representing the number of pages each book in the section has. Suppose that for any year y and any number of pages p, the probability a book is published in year y and has p pages is equal to the probability the book is published in year 3; multiplied by the probability the book has 3) pages. (In other words, the random variables X and Y are independent.) Help Alex prove that X 2 J. Y2