What percentage of individual students would you expect to get a score of 1150 or higher?

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Question #1: Let’s assume that nationwide individual scores follow a Normal Distribution with the mean of 1100 and a standard deviation of 150. What percentage of individual students would you expect to get a score of 1150 or higher?

Question #2: Let’s say that we sample 35 students from another school which is your typical American school (same individual mean and standard deviation as d above). If we were to take the average of the 35 students’ scores, what is the probability that their average would be higher than 1150?

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