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1) Suppose that 25 examinees are picked at random. Let X be the mean GMAT score of the 25 examinees selected. Find the mean and standard deviation of the sample mean GMAT score X.
2) Find the probability that the mean GMAT score X of the sample of 25 examinees is less than 480?
3) Find the probability that exactly 10 out of 25 selected examinees achieved a score greater than 420.
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Please see the attached file for the fully formatted problems. Convert the following equations into logarithmic form:
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