A TV manufacturer is supplied with a certain component by a specialist producer. Each incoming consignment of components is subjected to the following quality control procedure. A random sample of 10...

A TV manufacturer is supplied with a certain component by a specialist producer. Each incoming consignment of components is subjected to the following quality control procedure. A random sample of 10 components is individually tested. If there are one or more defective components among the 10 tested, the entire consignment is rejected. If there are no defective components in the sample, the consignment is accepted. (a) What are the probabilities of a consignment being rejected if the true proportions of defective components are: (i) 1% (ii) 10% (iii) 30% (b) If a sample of 20 components (instead of 10) were tested, and the consignment rejected if two or more proved defective, calculate the probabilities of rejecting a consignment for the same proportions of defective components. (c) Which quality control procedure do you think is the better?