Solution of problem N3733 probability theory total prob

Solution of problem N3733 probability theory total prob

3733. On three machines of different brands a specific part is manufactured. The performance of the first machine per shift is 40 parts, the second - 35 parts, the third - 25 parts. It is established that 2, 3 and 5% of the production of these machines, respectively, have hidden defects. At the end of the shift, one part was taken for control. What is the probability that it is non-standard?

Additional information:

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

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