Find the Value of a Normal Random Variable

question 25

Multiple Choice

Find the Value of a Normal Random Variable
-A brewery has a beer dispensing machine that dispenses beer into the company s 12 ounce bottles. The distribution for the amount of beer dispensed by the machine follows a normal distribution with a standard deviation of 0.15 ounce. The company can control the mean amount of beer dispensed by the machine. What value of the mean should the company use if it wants to guarantee that 98.5% of the bottles contain at least 12 ounces (the amount on the label)

• A) 12.325 oz
• B) 12.364 oz
• C) 12.002 oz
• D) 12.001 oz

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Definitions:

Dark Chocolate

A type of chocolate that contains a high percentage of cocoa solids and little to no milk.

Gram

A metric measurement for weight, quantifying as one thousandth of a kilogram.

Ounce

A unit of weight in the avoirdupois system, equal to 1/16 of a pound or approximately 28.35 grams.

Coffee

A brewed drink prepared from roasted coffee beans, the seeds of berries from certain Coffea species.