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Machine A produce 3% defectives, machine B produce 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 days production.
a. What is the prior
b. If inspection finds the item to be defective, what is the revised probability that the item came from machine C?
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