This problem involves inspection at a widget factory. Assume that a box contains 4 defective widgets and 8 acceptable widgets. There are 5 inspectors, each of whom selects a widget from the box at random, inspects it, and then replaces it in the box. Each inspector makes his or her inspection at a different time. What is the probability that at least one inspector will find a defective widget?

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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This problem involves inspection at a widget factory. Assume that a box contains 4 defective widgets and 8 acceptable widgets. There are 5 inspectors, each of whom selects a widget from the box at random, inspects it, and then replaces it in the box. Each inspector makes his or her inspection at a different time.

What is the probability that at least one inspector will find a defective widget?

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