Problem
A power utility can supply electricity to a city from n different power plants. Power plant i fails with probability p , 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.
The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.