A single-serving coffee machine is programmed to dispense 6 ounces of coffee per serving. Occasionally, the machine
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Question:
A single-serving coffee machine is programmed to dispense 6 ounces of coffee per serving. Occasionally, the machine will start to overfill or underfill cups of coffee and require recalibration. According to the company, the coffee machine requires recalibration if it underfills or overfills cups of coffee by 0.75 or more ounces. Determine the probability that a randomly selected cup of coffee was underfilled or overfilled by more than 0.75 ounces. Assume the distribution of the amounts of all coffee dispensed by the machine are normally distributed with a mean of 6 ounces and a standard deviation of 1.81 ounces. The probability that a randomly selected cup of coffee is underfilled or overfilled by 0.75 ounces is
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