Question

Consider an assembly line with 20 stations. Each station has a 0.5% probability of making a defect. At the end of the line, an inspection step singles out the defective units. The inspection step catches 80% of all defects. From inspection, units that are deemed to be non defective are moved to the shipping department. Q:What is the liklihood that a unit ends up in a rework?

Answer 1

The answer is 0.4%. The probability that a unit end in a rework can be calculated using the following equation:

P(rework)= P(defects found) * P(defect)
                = .8 * .005
                = .004
                = 0.4%

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