Solution of problem N1081 Laplace probability theory

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1081. The power plant serves a network with 16,000 light bulbs, each of which can be switched on in a certain period of time with a probability of 0.6. Calculate the probability that during this time period will be included:
a) the number of bulbs, equal to the most probable number included;
b) at least 9000 light bulbs.

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

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