The Battery company manufactures electric batteries. The probability that the finished battery is defective is 0.05. Each battery is additionally checked by the packer. The probability that the packer finds (and removes) a faulty battery is 0.96. The probability that a packer will mistakenly remove a good battery is 0.04. Find the probability that a randomly manufactured battery will be removed by the packer.

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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The Battery company manufactures electric batteries. The probability that the finished battery is defective is 0.05. Each battery is additionally checked by the packer. The probability that the packer finds (and removes) a faulty battery is 0.96. The probability that a packer will mistakenly remove a good battery is 0.04. Find the probability that a randomly manufactured battery will be removed by the packer.

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