Human visual inspection of solder joints on printed circuit boards can be very subjective. Part of the problem stems from the numerous types of solder defects (e.g., pad non-wetting, knee visibility, voids) and even the degree to which a joint possesses one or more of these defects. Consequently, even highly trained inspectors can disagree on the disposition of a particular joint. In one batch of 10,000 joints, inspector A found 732 that were judged defective, inspector B found 732 such joints, and 1323 of the joints were judged defective by at least one of the inspectors. Suppose that one of the 10,000 joints is randomly selected. (a) What is the probability that the selected joint was judged to be defective by neither of the two inspectors? (Enter your answer to four decimal places.) 0.8536 x (b) What is the probability that the selected joint was judged to be defective by inspector B but not by inspector A? (Enter your answer to four decimal places.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Human visual inspection of solder joints on printed circuit boards can be very subjective. Part of the problem stems from the numerous types of solder defects (e.g., pad non-wetting, knee visibility, voids) and even the degree to which a joint possesses one or more of
these defects. Consequently, even highly trained inspectors can disagree on the disposition of a particular joint. In one batch of 10,000 joints, inspector A found 732 that were judged defective, inspector B found 732 such joints, and 1323 of the joints were judged
defective by at least one of the inspectors. Suppose that one of the 10,000 joints is randomly selected.
(a) What is the probability that the selected joint was judged to be defective by neither of the two inspectors? (Enter your answer to four decimal places.)
0.8536
X
(b) What is the probability that the selected joint was judged to be defective by inspector B but not by inspector A? (Enter your answer to four decimal places.)
0.0591
Transcribed Image Text:Human visual inspection of solder joints on printed circuit boards can be very subjective. Part of the problem stems from the numerous types of solder defects (e.g., pad non-wetting, knee visibility, voids) and even the degree to which a joint possesses one or more of these defects. Consequently, even highly trained inspectors can disagree on the disposition of a particular joint. In one batch of 10,000 joints, inspector A found 732 that were judged defective, inspector B found 732 such joints, and 1323 of the joints were judged defective by at least one of the inspectors. Suppose that one of the 10,000 joints is randomly selected. (a) What is the probability that the selected joint was judged to be defective by neither of the two inspectors? (Enter your answer to four decimal places.) 0.8536 X (b) What is the probability that the selected joint was judged to be defective by inspector B but not by inspector A? (Enter your answer to four decimal places.) 0.0591
The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.45, the analogous probability for the second signal is 0.5, and the probability that he must stop at at least
one of the two signals is 0.55.
(a) What is the probability that he must stop at both signals?
0.4
(b) What is the probability that he must stop at the first signal but not at the second one?
0.05
(c) What is the probability that he must stop at exactly one signal?
0.9
X
Transcribed Image Text:The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.45, the analogous probability for the second signal is 0.5, and the probability that he must stop at at least one of the two signals is 0.55. (a) What is the probability that he must stop at both signals? 0.4 (b) What is the probability that he must stop at the first signal but not at the second one? 0.05 (c) What is the probability that he must stop at exactly one signal? 0.9 X
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