(Solved): A manufacturer obtains clock-radios from three different subcontractors: 40% from A, 40% from B, an ...

A manufacturer obtains clock-radios from three different subcontractors: $$40\%$$ from A, $$40\%$$ from B, and $$20\%$$ from C. The defective rates for these subcontractors are $$4\%,3\%$$, and $$5\%$$ respectively. If a defective clock-radio is returned by a customer, what is the probability that it came from subcontractor A? From B? From C? The probability that it came from subcontractor $$A$$ is (Type a decimal. Round to three decimal places if needed.)