Management of a company that produces a medical device has carefully selected and screened 220 finished items (packaged, ready to ship).  The team agrees that the sample contains 33 defective items, all for various visual defects on the package such as crooked labels, poor seal, errant marks on package, etc.  The items are then given to an inspector for classification into “defective” and “non-defective” piles.  The inspector ends up rejecting 9 non-defective items, and accepting 11 defective items.  The inspector

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Management of a company that produces a medical device has carefully selected and screened 220 finished items (packaged, ready to ship).  The team agrees that the sample contains 33 defective items, all for various visual defects on the package such as crooked labels, poor seal, errant marks on package, etc.  The items are then given to an inspector for classification into “defective” and “non-defective” piles.  The inspector ends up rejecting 9 non-defective items, and accepting 11 defective items.  The inspector classifies the remaining items in the sample correctly.  Find the following (answer as a probability, NOT a percentage. Use 3 decimal places:

P(inspector rejects the item and its actually defective) = 

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