The average annual precipitation for Washington, DC, is 43 in., with a standard deviation of 6.5 in. If the amounts can be assumed to have a normal distribution, find the probability that the precipitation in any 1 year is (a) greater than 55 in., (b) less than 35 in., (c) either less than 32 in. or greater than 51 in., (d) between 38 and 48 in. Find the precipitations that have (e) 5% chance of being exceeded, and (f) 1% chance of not being exceeded.