Operations Research ASSIGNMENT N0. 10 (Reliability Analysis) 1. The failure of power transformers is assumed to follow a Poisson probability distribution. Suppose on the average, a transformer fails once every 10 years, what is the probability that it will not fail in the next 12 months? That it will fail once in the next 24 months? 2. One thousand new OCRs are put in service. They have a constant failure rate 0f 0.05 per yean a) How many units of the original 1000 will still be in service after 5 years? b) How many of the original will fail in Year 5