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Companies X, Y and Z all manufacture a specific component required to make a touch screen...

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Basic Math

Companies X, Y and Z all manufacture a specific componentrequired to make a touch screen tablet. Of these three companies, Xshipped 1024 components, Y shipped 512 and Z shipped 256. Thepercentage of defective components produces by each company is 4%,5% and 14% for X, Y and Z, respectively. What is the probabilitythat a given defective component came from Company Y?

Please enter your answer as a decimal with 3 significant digits,e.g., .250 or 0.250.

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