Solution of problem N1719 Bernoulli probability theory

Solution of problem N1719 Bernoulli probability theory

1719. The worker serves ten identical machines. The probability that the machine will require the attention of the worker is the same for each of the ten machines and is equal to 0.05. Find the probability that within an hour of these requirements there will be at least one, but not more than three (neglect the probability that one machine can require the worker´s attention for an hour more than once).

Additional information:

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