15. A corporation produces electrical components utilizing three nonoverlapping work shifts. It is known that 50% of the components are produced during shift 1, 20% during shift 2, and 30% during shift 3. A further look at product quality reveals that 6% of the components produced during shift 1 are defective. The corresponding percentage for shift 2 is 8%. Shift 3, the late-night shift, produces a relatively large percentage, 15%, of defective components. Given that a defective component is found, what is the probability that it was produced during shift 3?
(A) 0.150
(B) 0.176
(C) 0.290
(D) 0.330
(E) 0.495

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