Coursework-Individual assignment-Section #2----------(15 Marks) 4)Perform the calculations necessary to solve the problem shown below 4(a). A component that is replaced on failure has a reliability of 0.40 at 800 hours and a reliability of 0.20 at 1600 hours. The time to failure follows a Weibull distribution. Required: i. Determine the parameters of the distribution, plert graph (3 marks) ii Explain how Weibull Analysis can be used to support the Maintenance decisions. (3 marks) 4(b). The time to failure of a critical plant unit follows a Normal distribution with a mean of four (4) months and a standard deviation of one (1) month. On failure the unit is replaced at a cost of $1000 including parts and production losses. A preventive replacement at a cost of $250 can be carried out at month end without incurring production losses. Required: i.Determine the annual cost if only corrective maintenance is carried out. (1 mark) ii.Determine the optimal preventive maintenance frequency to minimize annual costs. What is the associated minimum annual cost? (3 marks) The time between failures of a plant unit is distributed exponentially with a rate of 0.0025 failures per hour. The repair time, in hours, of the component is distributed as a Lognormal with a mean of 3.2 and standard deviation of 1.2. 4(c). Required: i. ii. Determine the Inherent Availability of the component. (1 mark) Determine the Achieved Availability of the component if a 5-hour preventive maintenance is performed every 250 hours. (3 marks) Determine the Operational Availability of the component if logistic and administrative delays amount to 15 hours. (1 mark)