5. A textbook contains, on average, 1.2 misprints per page. Assuming that the misprints are randomly distributed throughout the book,

1. specify a suitable model for \(X\), the random variable representing the number of misprints on a given page.
2. Find the probability that a particular page has more than 2 misprints.
3. Find the probability that Chapter 1, with 8 pages, has no misprints at all. Chapter 2 is longer, at 20 pages.
4. Use a suitable approximation to find the probability that Chapter 2 has less than ten misprints altogether. Explain what adjustment is necessary when making this approximation. \section*{STATISTICS 2 (A) TEST PAPER 5 Page 2}