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A hospital receives 1/5 of its flu vaccine shipments from company X and the remainder of its shipments from other companies. Each shipment contains a

A hospital receives 1/5 of its flu vaccine shipments from company X and the remainder of its shipments from other companies. Each shipment contains a very large number of vaccine vials. For company X's shipments, 10% of the vials are ineffective. For every other company, 2% of the vials are ineffective. The hospital tests 30 randomly selected vials from a shipment and find that one vial is ineffective. What is the probability that this shipment did not come from Company X?

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