standard_description: Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability. For example, when rolling a number cube 600 times, predict that a 3 or 6 would be rolled roughly 200 times, but probably not exactly 200 times.
problem_activity: Task
Bob’s Bagel Shop has estimated the following probabilities for the number of bagels a randomly-selected customer buys when he or she enters the shop.
{"table": [{"_attributes": {"class": ["centered", "narrow"]}, "tbody": [{"tr": [{"th": [{"_value": "No. of Bagels"}, {"_value": "Probability"}]}, {"td": [{"_value": "1"}, {"_value": ".5"}]}, {"td": [{"_value": "2"}, {"_value": ".1"}]}, {"td": [{"_value": "3"}, {"_value": ".1"}]}, {"td": [{"_value": "6"}, {"_value": ".1"}]}, {"td": [{"_value": "12"}, {"_value": ".2"}]}]}]}]}
Bob sells bagels for \$0.80 each, or \$9.00 for a dozen. If $X =$ the amount of money Bob collects from a randomly-selected customer, find and interpret the expected value of $X$.


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