Two pumps connected in parallel fail independently of one another on any given day. the probability

Two pumps connected in parallel fail independently of one another on any given day. the probability that only the older pump will fail is 0.10, and the probability that only the newer pump will fail is 0.05.(a) what is the probability that the older pump will fail and the newer pump operate on any given day? (b) what is the probability that both the older pump and the newer pump operate on any given day? (c) what is the probability that the pumping system will operate on any given day

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