Manufacturing and Product Development
At a glass manufacturing facility, crystal stemware is carefully inspected for correct dimensions, quality, and production trends. After lengthy studies, the factory is known to produce 15% defectives. Most of these pieces are discovered through inspection and are reworked or discarded. Suppose two pieces are randomly selected for inspection.
a. What is the probability that both pieces are defect-free?
b. What is the probability that neither piece is defect-free?
c. Suppose at least one of the pieces has a flaw; what is the probability that both are defective?