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March 9th, 2010, 12:53 AM   #1
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Expected value

Two brothers are selling berries to a factory. Every day they deliver, they get payed according to the total sum of what they both delivered. What they deliver each day could be seen as a stocastic variable with expexted value 20kg and standard deviation 3kg, that is:

E(X1) = 20 sd(X1) = 3, E(X2) = 20 pV sd(X2) = 3

Two different persons A and B are responsible for weighing the berries delivered. Person A weighes both bag of berries individually and adds them together. Person B only weighs one bag and multiplies it with 2. What is the expected value for total weight if person A is working, and if person B is working?

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