In a manufacturing process where 8% of all items are defective, an inspector at the end of

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In a manufacturing process where 8% of all items are defective, an inspector at the end of the production line selects some items for inspection. Suppose that 64% of the defective items and 16% of the good items go through the inspection. Find the probability that an item

(a) Has an inspection.

(b) Is defective given that it has an inspection.

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