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 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?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6915687c-4f06-4661-ac02-aefc88931b4a%2F13cb57a8-c32d-4dbc-a523-311ce200ef73%2F3pdvq7w_processed.png&w=3840&q=75)
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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