Body mass index (BMI) is a simple index of weight-for-height that is commonly used to classify overweight and obesity in adults. According to a study by the National Center for Health Statistics, the BMI of American women is normally distributed with a mean of 29.6 kg/m² and a standard deviation of 7.9 kg/m². If 50 different American women are randomly selected, what is the probability that their mean BMI is between 25 and 30 kg/m² (i.e., overweight)?

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