Assume the (large) population of IQs of all students in the district of Anantapur. We know its normally distributed with a mean of 67 (out of 100) and a standard deviation of 11. If a sample of 100 student IQs is picked from this population what is the probability that the mean of this sample will lie between 65 and 75? What is the chance the mean will be more than 90?
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