1) The mean and standard deviation of a normally distributed population is 30.5 and 5.0, respectively. Find the probability that the mean of a sample of size 25 drawn from this population is greater than 31.
2) The mean and the standard deviation of a normally distributed population is 30.5 and 5.0, respectively. Find the probability that the mean of a sample of size 25 drawn from this population is less than 29.
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