The probability that an integrated circuit chip will have defective etching (E) is 0.13, the probability that it will have a crack defect (C) is 0.29, and the probability that it has at least one defect is 0.32.

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Chapter1: Combinatorial Analysis
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The probability that an integrated circuit chip
will have defective etching (E) is 0.13, the
probability that it will have a crack defect (C) is
0.29, and the probability that it has at least one
defect is 0.32.
a) What is the probability that a newly
manufactured chip will have both defects?
b) What is the probability that a newly
manufactured chip will have either an etching
or a crack defect (i.e., only one of the two
defects)?
c) What is the probability that a newly
manufactured chip will have neither etching nor
crack defect (i.e., both defects are absent)
d) It is known that a newly manufactured
chip has crack defect. What is the probability
that the chip also has defective etching?
Transcribed Image Text:The probability that an integrated circuit chip will have defective etching (E) is 0.13, the probability that it will have a crack defect (C) is 0.29, and the probability that it has at least one defect is 0.32. a) What is the probability that a newly manufactured chip will have both defects? b) What is the probability that a newly manufactured chip will have either an etching or a crack defect (i.e., only one of the two defects)? c) What is the probability that a newly manufactured chip will have neither etching nor crack defect (i.e., both defects are absent) d) It is known that a newly manufactured chip has crack defect. What is the probability that the chip also has defective etching?
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