Q4. A box contains resistors, where 3% of the resistors are deficient because their resistance values are not meeting specifications written on the box. Technicians of the workshop are testing resistors before the resistors are soldered to an electrical circuit. The operators select unusable resistor as a deficient one with a probability of 0.95. However, the operator can incorrectly check a good resistor and assume that it is a deficient one with a probability of 0.05. 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)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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Q4. A box contains resistors, where 3% of the resistors are deficient because their resistance values are not
meeting specifications written on the box. Technicians of the workshop are testing resistors before the resistors
are soldered to an electrical circuit. The operators select unusable resistor as a deficient one with a probability
of 0.95. However, the operator can incorrectly check a good resistor and assume that it is a deficient one with
a probability of 0.05. 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:Q4. A box contains resistors, where 3% of the resistors are deficient because their resistance values are not meeting specifications written on the box. Technicians of the workshop are testing resistors before the resistors are soldered to an electrical circuit. The operators select unusable resistor as a deficient one with a probability of 0.95. However, the operator can incorrectly check a good resistor and assume that it is a deficient one with a probability of 0.05. 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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