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. If a defect is found at inspection, it is sent to the rework department. Rework fixes about 95% of the defective units. Units are directly shipped from the rework department with no further inspection taking place. What is the probability that a unit ends up in rework (in decimal form)?

Answer 1

Answer:

According to the provided information,

number of station = 20

Probability of defect on each station = 0.05

The probability that defects found at inspection = 0.80

The probability that defects are fixed = 0.95

A)

The probability that a unit ends up in rework can be calculated as:

Probability of defects in 20 stations = (1-(1-0.005)20) = 0.0954

Probability of defects = 0.80 or 80%

Explanation:

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