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1. A computer program uses one of the three procedures for each piece of input. The...

1. A computer program uses one of the three procedures for each piece of input. The procedures are used with probabilities 1/3, 1/2, and 1/6. Negative results are detected at rates 10%, 20%, and 30% by the three procedures, respectively. Suppose a negative result is detected. Find the probabilities that each of the procedures was used.

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