A particular system in a space vehicle must work properly in order for it to gain reentry into the earth’s atmosphere. One component of the system operates successfully only 85% of the time. To increase the reliability of the system, four of the components are installed in such a way that the system will operate successfully if at least one component is working. What is the probability that the system will fail? Assume the components operate independently.

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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A particular system in a space vehicle must work properly in order for it to gain reentry into the
earth’s atmosphere. One component of the system operates successfully only 85% of the time. To
increase the reliability of the system, four of the components are installed in such a way that the
system will operate successfully if at least one component is working. What is the probability that
the system will fail? Assume the components operate independently.

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