SOLUTION: A company uses five backup servers to secure its data. The probability that a server fails is 0.23. Assuming that the failure of a server is independent of the other servers, wh

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Question 1167110: A company uses five backup servers to secure its data. The probability that a server fails is 0.23.
Assuming that the failure of a server is independent of the other servers, what is the probability that one or more of the servers is operational? (Round your answer to 6 decimal places.

Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
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The probability that all 5 servers fail is  0.23%5E5 = 0.00064363.


The probability under the problem's question is the COMPLEMENT to it


    P = 1 - 0.00064363 = 0.999356366.     ANSWER

Solved.