Question: In a city library, the mean number of pages in a novel is 525 with a standard deviation of 200. Approximately 30% of the novels have fewer than 400 pages. Suppose that you randomly select 50 novels from the library.
(a) What is the probability that the total number of pages is fewer than 25,000? Show your work.
(b) What is the probability that at least 20 of the novels have fewer than 400 pages? Show your work.