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?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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100%

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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