In an automated filling operation, when the process is run at slow speed, the probability of an incorrect fill is 0.001. When the process is run at high speed, the probability of an incorrect fill is 0.01. The process is run at high speed 30% of the time, and at low speed 70% of the time. If an incorrectly filled container is found, what is the probability that it was filled during high speed operation?

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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In an automated filling operation, when the process is run at slow speed, the probability of an incorrect fill is 0.001. When the process is run at high speed, the probability of an incorrect fill is 0.01. The process is run at high speed 30% of the time, and at low speed 70% of the time. If an incorrectly filled container is found, what is the probability that it was filled during high speed operation?

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