1. Three plants supply microprocessors to a manufacturer of telemetry equipment.
ID: 3325321 • Letter: 1
Question
1. Three plants supply microprocessors to a manufacturer of telemetry equipment. All are supposedly made to the same specifications. However, the manufacturer has for several years tested the microprocessors, and records indicate the following information: Supply Plant 1 2 Fraction Defective Fraction Supplied by 0.02 0.01 0.03 0.15 0.80 0.05 The manufacturer has stopped testing because of the costs involved, and it may be reasonable assumed that the fractions defective and the inventory mix are the same as during the period of record keeping (a) The director of manufacturing randomly picks a microprocessor from the lot. What is the probability that it is defective? (b) The director of manufacturing randomly selects a microprocessor, takes it to the test department, and finds that it is defective. What is the probability that Plant 3 produced it?Explanation / Answer
a) P(defective) = 0.02 * 0.15 + 0.01 * 0.80 + 0.03 * 0.05
P = 0.0125
b) Supplied by plant 3
P(Supplied by plant 3) = 0.0015/0.0125
P = 0.12
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