According to the CGMA Economic Index, which measures executive sentiment across the world, 18% of all respondents expressed optimism about the global economy (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?