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A power utility can supply electricity to a city from n different power plants. Power plant i fails with probability pi, independent of the others.
A power utility can supply electricity to a city from n different power plants. Power plant i fails with probability pi, independent of the others. (a) Suppose that any one plant can produce enough electricity to supply the entire city. What is the probability that the city will experience a black-out? (b) Suppose that two power plants are necessary to keep the city from a black- out. Find the probability that the city will experience a black-out.
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