Sergio is doing a long hike and is carefully calculating his pack weight. An energy bar has mean weight 3.00 ounces and standard deviation 0.06. The weights of the bars are independent. A juice box has mean weight 4.5 ounces and standard deviation 0.20. The weights of the juice boxes are independent.  If he takes 4 energy bars and 6 juice boxes, what will be the STANDARD DEVIATION of the total weight in pounds from these items? Hint: If W is the weight in ounces, then W/16 is the weight in pounds.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Sergio is doing a long hike and is carefully calculating his pack weight. An energy bar has mean weight 3.00 ounces and standard deviation 0.06. The weights of the bars are independent. A juice box has mean weight 4.5 ounces and standard deviation 0.20. The weights of the juice boxes are independent. 

If he takes 4 energy bars and 6 juice boxes, what will be the STANDARD DEVIATION of the total weight in pounds from these items?

Hint: If W is the weight in ounces, then W/16 is the weight in pounds.

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