In Chapter $19,$ we discuss the acceptance sample. Acceptance sampling is used to mon$-$

itor the quality of incoming raw materials. Suppose a purchaser of electronic components

allows $1$ percent of the components to be defective. To ensure the quality of incoming

parts, a purchaser or manufacturer normally samples $20$ parts and allows $1$ defect.

a$.$ What is the likelihood of accepting a lot that is $1$ percent defective?

b$.$ If the quality of the incoming lot was actually $2$ percent, what is the likelihood of

accepting it$?$

c$.$ If the quality of the incoming lot was actually $5$ percent, what is the likelihood of

accepting it$?$