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Solving problem N3895 Bayesian probability theory

Solving problem N3895 Bayesian probability theory

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Product description

  • Two automatic machines produce parts that are fed to a common conveyor. The probability of obtaining a non-standard part on the first automatic machine is 0.075, and on the second - 0.08. The performance of the second is three times greater than the first. Find the probability that a piece taken from the conveyor is non-standard. What is the probability that it is produced by the 1st machine?

Additional information

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