A box contains resistors, where 8% of the resistors are deficient because their resistance values are not meeting specifications written on the box. Operators of the workshop are testing resistors before the resistors are soldered to an electrical circuit. The operators select deficient resistors with a probability of 0.98. However, the operator can incorrectly check a good resistor and assume that it is deficient with a probability of 0.02. If a resistor is selected as deficient after it was tested by an operator, what is the probability that the resistor is actually unusable for the electrical circuit? (Use Bayes' Formula)

A box contains resistors, where 8% of the resistors are deficient because their resistance values are not meeting specifications written on the box. Operators of the workshop are testing resistors before the resistors are soldered to an electrical circuit. The operators select deficient resistors with a probability of 0.98. However, the operator can incorrectly check a good resistor and assume that it is deficient with a probability of 0.02. If a resistor is selected as deficient after it was tested by an operator, what is the probability that the resistor is actually unusable for the electrical circuit? (Use Bayes' Formula)

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

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