2067. A radio lamp can belong to one of three batches w

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2067. A radio lamp can belong to one of three batches with probabilities 0.25, 0.5, 0.25. The probability that the lamp will work for a given number of hours, respectively, for these batches are equal to 0.9; 0.7; 0.6. The lamp taken at random worked for a given number of hours. Find the probability that this lamp is from the second batch.

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

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