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Machines Machine a Produces 3% Defectives,machine B Produces 5% Defectives,and Machine

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Machines
Machine A produces 3% defectives,machine B produces 5% defectives,and machine C produces 10% defectives.Of the total output from these machines,60% of the items are from machine A,30% from B,and 10% from C.One item is selected at random from a day's production.
What is the prior probability that the item came from machine A?
Machine B?
Machine C?

Correct Answer:

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P(A)= 0.60...

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