1. Find the probability that a person chosen at random has a democratic style and medium productivity.
2. Find the probability that an individual chosen at random has high productivity or an authoritarian style.
3. Find the probability that an individual chosen at random has an authoritarian style, given that he or she has medium productivity.
Suppose that in a study of leadership style versus industrial productivity, the following data were obtained.

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Leadership Style Demo- Authori- Laissez- Productivity cratic tarian faire Total 40 Low 15 40 95 Medium 25 75 10 110 High 25 30 20 75 Total 90 120 70 280