Chapter 6.5, Problem 35E

Industrial Production A factory that produces threedimensional models has two 3D printers. Printer A is very reliable and produces 200 models every week. Printer B is a little less reliable and produces 201 models on 99% of the weeks, but breaks down and produces 0 models the rest of the weeks.

(a) In a random week, what is the probability that Printer B produces more models that Printer A?

(b) After 200 weeks have elapsed, what it the probability that Printer B has produced more total models than Printer A? Hint: Printer A will have produced 40,000 models. If Printer B breaks down at least once, it will have produced fewer models.