Let X = the diameter of a randomly selected CD and Y = the diameter of a randomly selected case.

Describe the shape, center, and spread of the distribution of the random variable X – Y. What is the importance of this random variable to the CD manufacturer?

(b) Compute the probability that a randomly selected CD will fit inside a randomly selected case.

(c) The production process actually runs in batches of 100 CDs. If each of these CDs is paired with a randomly chosen plastic case, find the probability that all the CDs fit in their cases.