To ensure reliable performance of vital computer systems, aerospace engineers sometimes employ the technique of "triple redundancy," in which three identical computers are installed in a space vehicle. If one of the three computers gives results different from the other two, it is assumed to be malfunctioning and is ignored. This technique will work as long as no more than one computer malfunctions. Assuming that an onboard computer is 95% reliable (that is, the probability of its failing is 0.05), what is the probability that at least two of the three computers will malfunction? (Round your answer to four decimal places.)

To ensure reliable performance of vital computer systems, aerospace engineers sometimes employ the technique of "triple redundancy," in which three identical computers are installed in a space vehicle. If one of the three computers gives results different from the other two, it is assumed to be malfunctioning and is ignored. This technique will work as long as no more than one computer malfunctions. Assuming that an onboard computer is 95% reliable (that is, the probability of its failing is 0.05), what is the probability that at least two of the three computers will malfunction? (Round your answer to four decimal places.)

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

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