The daily receipts of a fast-food franchise are normally distributed with a mean of $6600 per day and a standard deviation of $60. A random sample of 25 days' receipts is chosen for an audit. (Round your answers to four decimal places.)

(a) What is the probability that the sample mean is larger than $6636?

(b) What is the probability that the sample mean differs from the true population mean by more than $12?

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