A stock index consists of businesses in both Europe and the United States. Assume that each business comprising the stock index makes a profit or loss independently of the other businesses in the index. Suppose that an American business on the stock index makes a profit 80% of the time and a European business makes a profit 60% of the time. If there are 1200 American businesses and 540 European businesses in the stock index, what is the expected number of businesses in the stock index to make a profit?
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