Defective Items A production process produces an...

A production process produces an item. On average, 15% of all items produced are defective.
Each item is inspected before being shipped, and the inspector misclassifies an item 10% of the time
?"What proportion of the items will be "classified as good
P(classed as good) = 90% of Good + 10% of Bad = 0.9*0.85+0.1(0.15)= 0.78
0.78=(P(classed as good
? What is the probability that an item is defective given that it was classified as good
(defect | classgood) = p(defect AND classgood)/P(classgood) 
(0.1*0.15) /0.85 = 0.0176
defect | classgood) = 0.0176)