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Microsoft Word - homework_2_2005.doc Problem 1 A machine to detect...

 

Microsoft Word - homework_2_2005.doc

Problem 1


A machine to detect improper welds in a fabricating shop detects 80 percent of all improper welds, but it also incorrectly indicates an improper weld on 5 percent of all satisfactory welds. Past experience indicates that 10 percent of all welds are improper.

  1. (a)  What is the probability that a weld that the machine indicates to be defective is in fact satisfactory?
  2. (b)  What is the probability that a weld which the machine indicates to be satisfactory is in fact defective?
  3. (c)  Compare the probabilities in (a) and (b) and comment on their relative magnitudes.


only part a

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