In Example, assume that the book in question has 1000 pages. Let [math]X[/math] be the number of pages with no mistakes. Show that [math]E(X) = 905[/math] and [math]V(X) = 86[/math]. Using these results, show that the probability is [math]{} \leq .05[/math] that there will be more than 924 pages without errors or fewer than 866 pages without errors.