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The time, in hours, that a copying machine may work without breaking down is the normally distributed random variable with mean 549 and the standard deviation 68. Find the probability that the machine will work for at least 500 hours without breaking down - explain your answer (study guide problem 59).

Total annual textbook sales in a certain discipline are normally distributed. 45% of the time, sales are above 671,000 copies, and 10% of the time the sale are above 712,000 copies. Find the mean and the variance of annual sales - explain your answer (study guide problem 72).

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