# Question: For large samples the sample sum x has an approximately

For large samples, the sample sum (_x) has an approximately normal distribution. The mean of the sample sum is and the standard deviation is. The distribution of savings per account for a savings and loan institution has a mean equal to $750 and a standard deviation equal to $25. For a sample of 50 such accounts, find the probability that the sum in the 50 accounts exceeds $38,000.

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