The device D1 is made by three critical pieces a, b and c, such that even if only one of them is defective, then the device does not work. If the piece a is defective with probability Pa, and similarly Pb for piece b and Pc for piece c, what is the probability that the device D1 does not work? The device D2 is made by two critical pieces v and W, such that if at least one of them works, then the device works. If the piece v is defective with probability Pv, and similarly Pw for piece w, what is the probability that the device D2 does not work? What is the maximum value of the probability of defects for piece a such that the probability that the device D1 does not work is lower or equal than the target probability Pt?

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Chapter1: Combinatorial Analysis
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please help me out to find the answer of last three blank Boxs with %
Pv = 14.9 %
Pw = 12.7 %
Pt = 2 %
Express numerical results in percentage form with 1 decimal digit (ex. 1.2 or 12.3) [%]
Probability that the device D1 does not work:
[%]
Probability that the device D2 does not work:
[%]
Maximum value of the probability of defects for piece a such that the probability that the device D1 does not work is lower or
equal than the target probability Pt?
[%]
Transcribed Image Text:Pv = 14.9 % Pw = 12.7 % Pt = 2 % Express numerical results in percentage form with 1 decimal digit (ex. 1.2 or 12.3) [%] Probability that the device D1 does not work: [%] Probability that the device D2 does not work: [%] Maximum value of the probability of defects for piece a such that the probability that the device D1 does not work is lower or equal than the target probability Pt? [%]
Let us consider two devices D1 and D2.
The device D1 is made by three critical pieces a, b and c, such that even if only one of them is defective, then the device does not
work. If the piece a is defective with probability Pa, and similarly Pb for piece b and Pc for piece c, what is the probability that the
device D1 does not work?
The device D2 is made by two critical pieces v and w, such that if at least one of them works, then the device works. If the piece v
is defective with probability Pv, and similarly Pw for piece w, what is the probability that the device D2 does not work?
What is the maximum value of the probability of defects for piece a such that the probability that the device D1 does not work is
lower or equal than the target probability Pt?
Pa = 2.9 %
Pb = 0.34 %
Pc = 0.44 %
Pv = 14.9 %
Pw = 12.7 %
23:22
Transcribed Image Text:Let us consider two devices D1 and D2. The device D1 is made by three critical pieces a, b and c, such that even if only one of them is defective, then the device does not work. If the piece a is defective with probability Pa, and similarly Pb for piece b and Pc for piece c, what is the probability that the device D1 does not work? The device D2 is made by two critical pieces v and w, such that if at least one of them works, then the device works. If the piece v is defective with probability Pv, and similarly Pw for piece w, what is the probability that the device D2 does not work? What is the maximum value of the probability of defects for piece a such that the probability that the device D1 does not work is lower or equal than the target probability Pt? Pa = 2.9 % Pb = 0.34 % Pc = 0.44 % Pv = 14.9 % Pw = 12.7 % 23:22
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