At a factory which produces hard drives, defective hard drives are produced according to a Poisson distribution at a rate of 12 per day. The company also hires inspectors to test for faulty hard drives. Of the defective hard drives, the inspectors are able to independently catch 90% of them. (a) What is the probability that there 14 defective hard drives produced in a day? (b) Given that there were 14 hard drives produced in a day, what is the probability that the inspectors identify 10 of them?

At a factory which produces hard drives, defective hard drives are produced according to a Poisson distribution at a rate of 12 per day. The company also hires inspectors to test for faulty hard drives. Of the defective hard drives, the inspectors are able to independently catch 90% of them. (a) What is the probability that there 14 defective hard drives produced in a day? (b) Given that there were 14 hard drives produced in a day, what is the probability that the inspectors identify 10 of them?

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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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