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 First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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)
Transcribed Image Text: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)
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