In an accelerator center, an experiment needs a 1.41-cm thick aluminum cylinder (http://puhep1.princeton.edu/mumu/ target/Solenoid_Coil.pdf ). Suppose that the thickness of a cylinder has a normal...

In an accelerator center, an experiment needs a 1.41-cm thick aluminum cylinder (http://puhep1.princeton.edu/mumu/ target/Solenoid_Coil.pdf ). Suppose that the thickness of a cylinder has a normal distribution with a mean of 1.41 cm and a standard deviation of 0.1 mm.

(a) What is the probability that a thickness is greater than 1.42 cm?

(b) What thickness is exceeded by 95% of the samples?

(c) If the specifications require that the thickness is between 1.41 cm and 1.44 cm, what proportion of the samples meet specifications?