Solution of problem N219 Laplace probability theory

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219. There are 100 machines of the same capacity working independently of each other in the same mode, at which their drive with a probability of 0.8 turns on during the entire working time. What is the probability that at an arbitrarily taken time will turn on from 70 to 86 machines?

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Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)

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