3) 4.1.5(203) Suppose that a metal pin has a diameter that has a uniform distribution between 4.182 mm and 4.185 mm.
(a) What is the probability that a pin will fit into a hole that has a diameter of 4.184 mm?
(b) If a pin does fit into the hole, what is the probability that the difference between the diameter of the hole and the diameter of the pin is less than 0.0005 mm?
pin