(a)Assume that the reliability of each subsystem (or component) i has the reliability of Ri.Calculate the reliability of the overall system RS as a function of Ri.(b)If the reliability of component i at time t is Ri(t)=e-it, what is the reliability function of the overall system at time t?(c)Evaluate the mean time to failure (MTTF) of the overall system as a function of i using the reliability function in part (b).(d)Prove using the information above that the failure rate of the overall system with exponential reliability is Hint. Use the Binomial distribution.(e)What is the mean time before failure (MTBF) of the above system?Question 3 A point-to-point digital microwave radio system is required by a bank to link the LANs of two of its branches at 2.048 Mbps transmission speed. The handbook delivered by the manufacturer has dimensioned the entire radio terminal with the reliability: MTBF (mean time between failures): 100,000 hours MTTR (mean time to repair): 2 hours (equipment only) The radio path availability was calculated for ðµð¸ð‘…=10-8 and found to be 99.999% for the average worst case. The system configuration is shown in Figure 1. a.Calculate the overall system availability b.Draw the reliability diagram of the system c.How would you increase the availability of the system required by the bank

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