The probability of a sprinkler activating correctly is 0.58. I am going to inspect 15 sprinklers. Assume the sprinklers activate correctly or not independently.
(a) What is the probability that all of the sprinklers will operate correctly?
(b) What is the probability that at most 7 of the sprinklers will operate correctly?
(c) What is the minimum number of sprinklers needed so that the probability that at least one operates correctly is at least 0.95?

Answer rating: 100% (QA)

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