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A tablet PC contains 3217 music files. The distribution of file size is highly skewed with many small file sizes. The mean file size on

A tablet PC contains 3217 music files. The distribution of file size is highly skewed with many small file sizes. The mean file size on the tablet is 2.35 MB with a standard deviation of 3.25 MB.

a. What is the probability that the average size of 30 randomly selected music files taken from the tablet is less than 1.93 MB?

b. What is the probability that the average size of 50 randomly selected music files taken from the tablet is more than 2.52 MB?

c. How many files would you need to sample if you wanted the standard deviation of the sample mean size to be no larger than 0.35 MB?

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