Corporations such as banks, where a computer is essential to day-to-day operations, often have a second, backup computer in case of failure by the main computer. Suppose that there is a 0.002 chance that the main computer will fail in a given period and a 0.008 chance that the backup computer will fail while the main computer is being repaired. Suppose these failures represent independent events, and find the fraction of the time the corporation can assume that it will have computer service. How realistic is our assumption of independence? The assumption of independence isrealistic. (Round to six decimal places as needed.)

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Corporations such as banks, where a computer is essential to day-to-day operations, often have a second, backup computer in case of failure by the main computer. Suppose
that there is a 0.002 chance that the main computer will fail in a given period and a 0.008 chance that the backup computer will fail while the main computer is being repaired.
Suppose these failures represent independent events, and find the fraction of the time the corporation can assume that it will have computer service. How realistic is our
assumption of independence?
The assumption of independence is realistic.
(Round to six decimal places as needed.)
Transcribed Image Text:Corporations such as banks, where a computer is essential to day-to-day operations, often have a second, backup computer in case of failure by the main computer. Suppose that there is a 0.002 chance that the main computer will fail in a given period and a 0.008 chance that the backup computer will fail while the main computer is being repaired. Suppose these failures represent independent events, and find the fraction of the time the corporation can assume that it will have computer service. How realistic is our assumption of independence? The assumption of independence is realistic. (Round to six decimal places as needed.)
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