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4. An assembly line has just received an order for 4 widgets. For each widget constructed on the assembly line, there is a 90% chance it's functional and a 10% chance it's broken. What is the minimum number of widgets that the assembly line should produce to be 95% certain that the order can be fulfilled with all widgets functional? Assume all widgets are independent, and be sure to show your reasoning.

4. An assembly line has just received an order for 4 widgets. For each widget constructed on the assembly line, there is a 90% chance it's functional and a 10% chance it's broken. What is the minimum number of widgets that the assembly line should produce to be 95% certain that the order can be fulfilled with all widgets functional? Assume all widgets are independent, and be sure to show your reasoning.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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4. An assembly line has just received an order for 4 widgets. For each widget constructed on the assembly line, there is a 90% chance it's functional and a 10% chance it's broken. What is the minimum number of widgets that the assembly line should produce to be 95% certain that the order can be fulfilled with all widgets functional? Assume all widgets are independent, and be sure to show your reasoning.
Transcribed Image Text:4. An assembly line has just received an order for 4 widgets. For each widget constructed on the assembly line, there is a 90% chance it's functional and a 10% chance it's broken. What is the minimum number of widgets that the assembly line should produce to be 95% certain that the order can be fulfilled with all widgets functional? Assume all widgets are independent, and be sure to show your reasoning.
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