Kim’s bookcase holds 16 nonfiction books and 12 fiction books. each shelf holds the same number of books and contains only one type of book. each shelf holds the greatest number of books possible. how many shelves does the bookcase have.

Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. if a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? round your answer to four decimal places.