Solution of problem N3787 probability theory total prob

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Uploaded: 29.01.2019
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3787. The box contains 12 parts manufactured at plant number 1, 20 parts are manufactured at plant number 2, and 18 parts are manufactured at plant number 3. The probability that a part manufactured at plant number 1 of excellent quality is 0.9; for parts manufactured at plants No. 2 and No. 3, these probabilities are 0.6 and 0.9, respectively. Find the probability that the item extracted at random will be of excellent quality.

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

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