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QUESTION

The University of New South Wales Library checks out an average of 2534 books per day, with a standard deviation of 378 books per day.

  1. The University of New South Wales Library checks out an average of 2534 books per day, with a standard deviation of 378 books per day. Assuming that the distribution of books checked out per day is well approximated by a normal distribution, determine (to 4 dec pl)
  1. 1. the probability that on any given day, the number of books checked out exceeds 2300 
  2. 2. the probability that the average daily lending activity over a three month (i.e. 90 day) period is less than 2500 books or more than 3000 books per day.
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