At a glass manufacturing facility crystal stemware is carefu

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.

Fill in the blank. (Give your answer to four decimal places.) Suppose at least one of the pieces has a flaw. The probability that both are defective is

Solution

PROBABILITY OF DEFECTIVE = 0.15

PROBABILITY NON DEFECTIVE =1-0.15 = 0.85

PROBABILITY BOTH DEFECTIVE = 2C2*(0.15)^2*(0.85)^0 = 0.0225