A hospital receives 1/4 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, 5% of the vials are ineffective. For every other company, 1% of the vials are ineffective. The hospital tests 30 randomly selected vials from a shipment and finds that one vial is ineffective. What is the probability that this shipment came from Company X?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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3. A hospital receives 1/4 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, 5% of the vials are ineffective. For every other
company, 1% of the vials are ineffective. The hospital tests 30 randomly selected vials from
a shipment and finds that one vial is ineffective. What is the probability that this shipment
came from Company X?
Transcribed Image Text:3. A hospital receives 1/4 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, 5% of the vials are ineffective. For every other company, 1% of the vials are ineffective. The hospital tests 30 randomly selected vials from a shipment and finds that one vial is ineffective. What is the probability that this shipment came from Company X?
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