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us Econ 7.5.42 Corporations where a computer is essential to days to- day operat

ID: 3197960 • Letter: U

Question

us Econ 7.5.42 Corporations where a computer is essential to days to- day operations, such as baniks, ofen have a second backup computer in case te main computer ta Supere The fracion of the time the corporation can assume that t will have computer service is a 0,003 chance ht se main computer wil at ih a phen tne pen the time ime perod and a 0 008 chance that the backup compuher wl fail whilethe main computor is being repained. Assume hese falures reproent independent e th ration How realistio is our assumption of independence? (Type an integer or decimal rounded to six decimal places as needed)

Explanation / Answer

The fraction of time that corporation have computer services =1- (the fraction of time it don't have computer services)......(1)

Since the failure eventsare independent, So the fraction of time it don't have computer is given by the (fraction of time when main computer fails) × ( the fraction of time when backup computer fails when already main computer is reparing)

Putting the given values, we get

=> The fraction of time that corporation don't have computer services = (0.003) × (0.006) =0.000018.

Put in equation (1) we get

The fraction of time that corporation have computer services is equal to 1-0.000018 = 0.999982.