Nondestructive evaluation (NDE) describes methods that quantitatively characterize materials, tissues, and structures by noninvasive means, such as X-ray computed tomography, ultrasonics, and acoustic emission. Recently, NDE was used to detect defects in steel castings. Assume that the probability that NDE detects a "hit" (i.e., predicts a defect in a steel casting) when, in fact, a defect exists is 0.97. Assume also that the probability that NDE detects a "hit" when, in fact, no defect exists is 0.005. Past experience has shown that a defect occurs once in every 100 steel castings. If NDE detects a "hit" for a particular steel casting, what is the probability that an actual defect exists?
Nondestructive evaluation (NDE) describes methods that quantitatively characterize materials, tissues, and structures by noninvasive means, such as X-ray computed tomography, ultrasonics, and acoustic emission. Recently, NDE was used to detect defects in steel castings. Assume that the probability that NDE detects a "hit" (i.e., predicts a defect in a steel casting) when, in fact, a defect exists is 0.97. Assume also that the probability that NDE detects a "hit" when, in fact, no defect exists is 0.005. Past experience has shown that a defect occurs once in every 100 steel castings. If NDE detects a "hit" for a particular steel casting, what is the probability that an actual defect exists?
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Transcribed Image Text:Nondestructive evaluation (NDE) describes methods that quantitatively characterize materials, tissues, and
structures by noninvasive means, such as X-ray computed tomography, ultrasonics, and acoustic emission.
Recently, NDE was used to detect defects in steel castings. Assume that the probability that NDE detects a
"hit" (i.e., predicts a defect in a steel casting) when, in fact, a defect exists is 0.97. Assume also that the
probability that NDE detects a "hit" when, in fact, no defect exists is 0.005. Past experience has shown that a
defect occurs once in every 100 steel castings. If NDE detects a "hit" for a particular steel casting, what is the
probability that an actual defect exists?
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