A complex electronic system is built with a certain number of backup components in its subsystems....
A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has eight identical components, each with a probability of 0.35 of failing in less than 1,000 hours. The sub system will operate if any four of the eight components are operating. Assume that the components operate independently.
Find the probability that the subsystem operates longer than 1,000 hours.
(Round your answers to four decimal places.)
Homework Answers
| here this is binomial with parameter n=8 and p=0.35 |
probability that the subsystem operates longer than 1,000 hours.=P(at most 4 fail):
| P(X<=4)= | ∑x=0a (nCx)px(1−p)(n-x) = | 0.8939 |
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