# Question

According to the CGMA Economic Index, which measures executive sentiment across the world, 18% of all respondents expressed optimism about the global economy (http://www.aicpa.org, March 29, 2012). Moreover, 22% of the respondents from the United States and 9% from Asia felt optimistic about the global economy.

a. What is the probability that an Asian respondent is not optimistic about the global economy?

b. If 28% of all respondents are from the United States, what is the probability that a respondent is from the United States and is optimistic about the global economy?

c. Suppose 22% of all respondents are from Asia. If a respondent feels optimistic about the global economy, what is the probability that the respondent is from Asia?

a. What is the probability that an Asian respondent is not optimistic about the global economy?

b. If 28% of all respondents are from the United States, what is the probability that a respondent is from the United States and is optimistic about the global economy?

c. Suppose 22% of all respondents are from Asia. If a respondent feels optimistic about the global economy, what is the probability that the respondent is from Asia?

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