Defective parts: A process manufactures microcircuits that are used in computers. Twelve percent of the circuits are defective. Assume that three circuits are installed in a computer. Denote a defective circuit by ‘‘D’’ and a good circuit by ‘‘ G.’’
a. List all eight items in the sample space.
b. What is the probability that all three circuits are good?
c. The computer will function so long as either two or three of the circuits are good. What is the probability that a computer will function?
d. If we use a cutoff of 0.05, would it be unusual for all three circuits to be defective?