According to a Gallup Poll, the extent to which employees are engaged with their workplace varies from country to country. Gallup reports that the percentage of U.S. workers engaged with their workplace is more than twice as high as the percentage of German workers. The study also shows that having more engaged workers leads to increased innovation, productivity, and profitability, as well as reduced employee turnover. The results of the poll are summarized in the following table:

a. Given that a worker is from the United States, what is the probability that the worker is engaged?
b. Given that a worker is from the United States, what is the probability that the worker is not engaged?
c. Given that a worker is from Germany, what is the probability that the worker is engaged?
d. Given that a worker is from Germany, what is the probability that the worker is not engaged?

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COUNTRY ENGAGEMENT United States Germany Ttal 796 1649 2,994 Engaged 246 550 Not engaged 1345 1,895 Total 1,895 3,790