Question

1. An automatic testing machine is used to test whether electronic compo- nents produced are either 'good' or 'defective'. There is a 0.15 probability that the testing machine will misclassify the component. This is consid- ered to be too high. Your boss wants the misclassifications to occur less than 1 percent of the time. Develop a classification scheme that will meet your boss's needs and give the probability of misclassifying using your scheme. gettins rg

Answer 1

re fiven An auto mati testhing machine ued to the ither omponenta good o) defective produced let P probability thort is good Componert 4=Hprobalety that i diyetive component Here grven probabrlity of misclaurfyng 6.15 good detedtted a detective and good deyeatrvie tected Tert 0 85 Gcod Gos d defective dyective O 85 go od for 0s G0od u defected simila fo detectve

boss oanta to yedua msslasaction the to OCcur to be Las than means yous probability f mitelassfication is 11. </. Pm Hos }Q.0 7 So let Pm be the probability 0.005 of the muulanhying seheme Here the mirelaufyng probalaiity ihich es than satstied scheme have tagi chance of err we compaved to hances t Cectechon One the dlact = l-0 00S 0.995

meang in q9.5 times Goo d oletecled as Snilarl tooletective Hence ih ow cheme .995 Cho0d defeative defectvà O.G95 In (9.51 percernt) among 100 we qet coreet dete and onl looos with o.5/ misclassifrcation get we Hene probabley of S.Q Pm 0005 1000 200 0.005 TE