Question

Assume that a system works properly if at least three out of five components work properly. Assume all components have equal reliability r. Compute the probability that the system works properly. Now assume the r=.9. What is the reliability of the system?

Answer 1

Answer:

Given Data

Number of components = n = 5

Let X be a Binomial variable .

Given P (i.e , r in the problem ) = 0.9

q = 1 - p

= 1 - 0.9

= 0.1

Given That the system works properly if atleast 3 of 5 components  work properly .

Probability that , the system works properly

Actual reliability = P( r in question )

   all components have equal reliability.

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