(Problem 2.17) consider the following model for the reliability of a computer system installedat a major bank. The system has a single power source that supplies two independentlyoperating central processing units (CPUs). Each CPU is connected to each of four inputoutput(I/O) channels. Under normal circumstances, both CPUs and all four I/O channels areused; however, the system can still be operational (though at a diminished capacity) if onlyone PCU and only one I/O channel are operating along with the power. Thus, the system failsas soon as either the power unit fails, both CPUs have failed, or all four I/O channels havefailed.Each unit fails independently of the others. The times to failure are random variables with thefollowing distributions:Power Normal with mean 400 hours and standard deviation 100 hoursCPUs Uniform between 250 and 750 hoursI/Os Exponential with mean 400 hoursNote: these are the distributions of time to failure for each individual unit, not the collectionof units of each type.a) First specify the model for computing the time to failure for the entire system fromeach components time to failure. The time at which the CPUs fail is the maximum ofthe two CPU failure times, and the failure time for the entire system is the minimumof the failure times for each of the three components.b) Implement this model in a spreadsheet and generate 400 observations on computerfailure times.c) Use the observations generated in part b to the probability that the time to failure isless than 350 hours.d) Use the observations in part c to produce a plot of the probability the system isoperating versus time (the reliability function). Use this plot to select a maintenancetime such that the probability the system goes down before this time is no larger than0.02.