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Campbell's Soup reports that people in California (50,000,000 people) on average eat 12 bowls of chicken noodle soup per year, with a standard deviation of 7 bowls. What is the probability that the simple random sample will provide a sample mean within 0.5 bowls of the population mean if you sample 120 California residents?

(round to two decimal places, e.g. 0.57)