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1. A power plant has installed 250 Transformers and at the end of each year, the number of surviving transformers in each year was reported. End of Year 1 2 3 4 5 6 Compute: a) annual reliability at the end of the fourth year, b) the reliability of the transformers in six years, and c) the failure rate in the sixth year. [2+2+4= 08] 2. Let X be the random occurrence number of failed components among 5 independent and identical components. Each component has a failure probability of 0.01 during an operating period. Find the probability of exactly one failure. [02] 3. An electric power system supplied from a total of 101 generating units. Calculate the probability of having (a) 2, (b) 7, and (c) 11 units being out of service simultaneous, given that the outage rate (q) of each unit is 0.06. [2+2+2=06] 4. Thirty-five protective relays were tested for 250 hours. Five relays failed during the test. Calculate the estimated failure rate when the failures occurred after the following test times: [04] Relay No. 11 23 25 33 Number of Remaining Transformers 244 239 214 197 185 168 1. 2. 3. Submission Date: 04-07-2022 Hours at Failure 65 159 171 196 Instructions: It is an open book; therefore, the maximum time has been allowed to submit the assignment Display Date: 19-06-2022 4. Late submission will have a marks deduction (1) per day 5. Assignment should be handwritten neat, clean, and have a clear understanding