c) A manufacturer receives large shipments of parts from three suppliers, A, B and C. Thirty percent of the shipments come from supplier A whose shipments contain 2% defective parts. Forty-five percent of the shipments come from supplier B whose shipments contain 1.5% defective parts. The remainder of the shipments comes from supplier C whose shipments contain 2.5% defective parts. The manufacturer receives a shipment, but does not know the source. A random sample of ten parts from this shipment is tested, and 1 part of the sample is found to be defective. Calculate the probability that this shipment came from supplier C