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A production manager knows that 20% of components produced by a particular manufacturing process have some...

A production manager knows that 20% of components produced by a particular manufacturing process have some defect. What is the probability that exactly 10 items will be produced in order to observe fourth item?

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Answer #1

P(10th item will be the 4th one with defect)

= P(3 defects in first 9 items)*P(10th item with defect)

= 9C3 * (0.20)3 * (0.80)6 * (0.20)

= 0.0352

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