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. the probability that on any given day, the number of books checked out exceeds 2300 . )

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.( )