A certain libraries short books have a page count that is normally distributed with a mean of 14 and a standard deviation of 1. Bob chooses a random sample of 10 of these books and 8 are found to have a page count of less than 12. What is the chance that any single short book in the library has a page count of 12 or less? What is the chance that 11 or more out of the 12 books Bob chose has a page count of 12 or less?
A standard normal distribution table will be needed.
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