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.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
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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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