In the mass production of a certain piece of a machine, the average length is 10.500 in. and the standard deviation is 0.005 in. calculate the probabilities for the following cases: (a) the length of the piece is less than 10.520. (b) the length of the piece is between 10.485 and 10.515. (c) if the manufactured pieces with length deviations of more than 2.5 standard deviations are rejected, what percentage of the products will be rejected