SOLUTION: On average, 17% of all items produced are defective. The inspector misclassifies an item 9% of the time. What proportion of the items will be "classified as good"? What is the pr

Question 411030: On average, 17% of all items produced are defective. The inspector misclassifies an item 9% of the time. What proportion of the items will be "classified as good"? What is the probability than an item is defective given that it was classified as good?
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
What proportion of the items will be "classified as good"?
1-.17=.83 are good and .17 are defective.
.83*.09=.0747 misclassified defective
.83-.0747=.7553 called good that are good.
.17*.09=.0153 misclassified good
.7553+.0153=.7706 Answer.
.
What is the probability than an item is defective given that it was classified as good?
.0153/.7706=.0199
.
Ed
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