In the previous exercise assume that the process is centered so that the mean is 90 millimeters and the standard deviation is 0.1 millimeter. Suppose that 10 cases are measured, and they are assumed to be independent.
(a) What is the probability that all 10 cases are between 89.7 and 90.3 millimeters?
(b) What is the expected number of the 10 cases that are between 89.7 and 90.3 millimeters?