Refer to Exercise 6.85. An American under 40 tells you that he has student debt. What is

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Refer to Exercise 6.85. An American under 40 tells you that he has student debt. What is the probability that he is managerial or professional? 

In exercise 6.85

How many Americans under the age of 40 have student debts? A Pew Research Center attempted to answer the question by asking whether respondents had student debt and in what was their occupation. 

The following probabilities were determined.

Has Student Proportion (%) Occupation Debt (%) Managerial/ 32 45 Professional Technical, Sales, 15 39 or Services Other

Calculate the probability that a randomly selected respondent has student debt.

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