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A dot-com company ships products from three different warehouses (A,B and C). Based on customer complaints, it appears that 3% of the shipments coming from

A dot-com company ships products from three different warehouses (A,B and C). Based on customer complaints, it appears that 3% of the shipments coming from A are somehow faulty, as are 5% of the shipments coming from B, and 2% coming from C. Suppose a customer is mailed an order and calls in a complaint the next day. What is the probability the item came from Warehouse C? Assume that Warehouses A, B, and C ship 30%, 20% and 50% of the dotcoms sales, respectively.

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