2064. A radio lamp can belong to one of three batches w

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2064. A radio lamp can belong to one of three batches with probabilities 0.6, 0.3, 0.1, respectively. The probability that the lamp will work for a given number of hours is equal to 0.8 for these lots; 0.7; 0.9, respectively. Determine the probability that: a) the lamp does not work for a given number of hours; b) the lamp that worked for a given number of hours belongs to the first batch.

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

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