A total of (n) devices, each with a power consumption of (a) kilowatts, are connected to an
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A total of \(n\) devices, each with a power consumption of \(a\) kilowatts, are connected to an electric network. At a given time each is consuming power with a probability \(p\). Find the probability that the power consumed at the given time.
(a) will be less than \(n a p ;\)
(b) will exceed rnap \((r>0)\) provided that \(n p\) is great.
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