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a Bank Offers 53\sqrt{5 - 3}

Question 106

Multiple Choice

Use the following information for questions:
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 = 53\sqrt{5 - 3} = 1.41 ounces
B) Mean = 25 ounces, standard deviation = 5+3\sqrt{5 + 3} = 2.83 ounces
C) Mean = 25 ounces, standard deviation = 5232\sqrt{5^2 - 3^2} = 4 ounces
D) Mean = 25 ounces, standard deviation = 52+32\sqrt{5^2 + 3^2} = 5.83 ounces

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