The economy is high 15 of the time it is medium 70 of the


When the economic situation is "high," a certain economic indicator rises with probability 0.6. When the economic situation is "medium," the economic indicator rises with probability 0.3.

When the economic situation is "low," the indicator rises with probability 0.1. The economy is high 15% of the time, it is medium 70% of the time, and it is low 15% of the time. Given that the indicator has just gone up, what is the probability that the economic situation is high?

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Basic Statistics: The economy is high 15 of the time it is medium 70 of the
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