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A factory has a machine which measures the thickness of washers and classifies them as defective...

A factory has a machine which measures the thickness of washers and classifies them as defective or satisfactory. The machine can make two type of error. On average, it classifies 1 out of every 100 defective washers as satisfactory and it classifies 3 out of every 100 satisfactory washers as defective. 5% of the washers produced are, in fact, defective.

(a) the expected proportion of washers classified as satisfactory by the machine; (b) the expected proportion of those washers classified by the machine as satisfactory which will, in fact, be defective.

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