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The amount of detergent dispensed into bottles of liquid laundry detergent bottles for a particular brand is normally distributed with a mean of 87.8 ounces

The amount of detergent dispensed into bottles of liquid laundry detergent bottles for a particular brand is normally distributed with a mean of 87.8 ounces with a standard deviation of 1.4 ounces. If twenty-five bottles are randomly chosen from the factory, what is the probability that the mean fill is more than 88.2 ounces? Round your answer to at least three decimal places

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