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1A. A hоspitаl receives supplies оf а certаin medicatiоn from three different manufacturers: Manufacturer A, Manufacturer B, and Manufacturer C. The proportions of supplies from these manufacturers are 40%, 35%, and 25% respectively. The probabilities that a batch from these manufacturers is faulty are 1%, 3%, and 5% respectively. If a batch is found to be faulty, what is the probability that it came from Manufacturer C? Please show all your work, first write the formulas you are using then plug in the given value.