Solving problem N3665 Bayesian probability theory

Solving problem N3665 Bayesian probability theory

3665. Three machines make the same parts. Their performance is 2: 3: 5, and standard parts among their products are 90%, 95%, 85%, respectively. Find the probability that a piece taken at random will be non-standard and made by a third machine gun.

Additional information:

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

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