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The managers of a corporation were surveyed to determine the background that leads to a successful manager. Each manager was rated as being either

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The managers of a corporation were surveyed to determine the background that leads to a successful manager. Each manager was rated as being either a good, fair, or poor manager by his/her boss. The manager's educational background was also noted. The data appear below. Given that a manager is only a fair manager, what is the probability that this manager has no college background? Give your answer as a simplified fraction. H. S. Degree Some College College Degree Master's or Ph.D. Totals Good 3 2 24 10 39 Fair 5 17 42 23 87 Poor 9 7 8 Totals 17 26 26 74 43 129 10 34 160 1 5 O A. O B. 32 87 99 5 C. O D. 160 17

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