A certain component is produced in three sequential operations. Operation 1 produces defects at a rate q1 = 5%. Operation 2 produces defects at a rate q2 = 8%. Operation 3 produces defects at a rate q3 = 10%. Operations 2 and 3 can be performed on units that are already defective. If 10,000 starting parts are processed through the sequence,
(a) How many units are expected to be defect-free,
(b) How many units are expected to have exactly one defect, and
(c) How many units are expected to have all three defects?