A researcher conducted a survey on a university campus for a sample of 64 third-year students and reported that third-year students read an average of 3.12 books in the prior academic semester, with a standard deviation of 2.15 books. Determine the probability that the sample mean is:
a. less than 3.45.
b. between 3.38 and 3.58.
c. above 2.94.
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