1.6.5 After production, an electrical circuit is given a quality score of A, B, C, or D. Over a certain period of time, 77% of the circuits were given a quality score A, 11% were given a quality score B, 7% were given a quality score C, and 5% were given a quality score D. Furthermore, it was found that 2% of the circuits given a quality score A eventually failed, and the failure rate was 10% for circuits given a quality score B, 14% for circuits given a quality score C, and 25% for circuits given a quality score D.
1.6.5 After production, an electrical circuit is given a quality score of A, B, C, or D. Over a certain period of time, 77% of the circuits were given a quality score A, 11% were given a quality score B, 7% were given a quality score C, and 5% were given a quality score D. Furthermore, it was found that 2% of the circuits given a quality score A eventually failed, and the failure rate was 10% for circuits given a quality score B, 14% for circuits given a quality score C, and 25% for circuits given a quality score D.
MATLAB: An Introduction with Applications
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Transcribed Image Text:### 1.6.5 Problem Statement
After production, an electrical circuit is given a quality score of A, B, C, or D. Over a certain period of time, 77% of the circuits were given a quality score A, 11% were given a quality score B, 7% were given a quality score C, and 5% were given a quality score D.
Furthermore, it was found that 2% of the circuits given a quality score A eventually failed, and the failure rate was:
- 10% for circuits given a quality score B,
- 14% for circuits given a quality score C,
- 25% for circuits given a quality score D.
#### Questions
(a) If a circuit failed, what is the probability that it had received a quality score either C or D?
(b) If a circuit did not fail, what is the probability that it had received a quality score A?
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