Suppose we have an eight CPU computer with four hard drives.MTTF of each cpu is 100000 hours and the MTTF of the hard drive is 50000 hours.Assume that if one of the above component fails the whole system fails.Failures are independent and lifetimes of the components are exponentially distributed.What is the mttf of the system ? if it takes 2 weeks to fix a failing system what is the system availability ? suppose we have n computers as described above.These are all used in a high performance application.If any one of the computer fails the whole application fails.Compute the maximum value for n if the MTTF of the system must be greater than 2 weeks.