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A bank offers free coffee to its customers. The coffee is brewed each morning in a large coffee urn, and the amount brewed varies slightly. It is independent from day to day, with mean of 125 ounces and standard deviation of 3 ounces. The amount customers drink from day to day is also random, with mean of 100 ounces and standard deviation of 5 ounces, and is independent of the amount brewed.
-What is the mean and standard deviation for the amount of coffee remaining at the end of the day?
A) Mean = 25 ounces, standard deviation = = 1.41 ounces
B) Mean = 25 ounces, standard deviation = = 2.83 ounces
C) Mean = 25 ounces, standard deviation = = 4 ounces
D) Mean = 25 ounces, standard deviation = = 5.83 ounces
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