. Components arriving at a distributor are checked for defects by two different inspectors (each component is checked by both inspectors). The first inspector detects 90% of all defectives that are...

. Components arriving at a distributor are checked for defects by two different inspectors (each

component is checked by both inspectors). The first inspector detects 90% of all defectives that

are present, and the second inspector does likewise. At least one inspector fails to detect a defect

on 20% of all defective components. What is the probability that the following occur?

(a) A defective component will be detected only by the first inspector? By exactly one of the

two inspectors?

(b) All three defective components in a batch escape detection by both inspectors (assuming

inspections of different components are independent of one another)?