What is the distribution?

JonyCee

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Oct 8, 2014
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A shipping company handles containers in 3 different sizes: 27{ ft}^3, 125{ ft}^3, and $512{ ft}^3$. The company charges 100 dollars per cubic foot for the shipping. It takes one employee with a forklift 0.5, 0.75, and 1 hour respectively, to load and unload the container on each end. Forklift drivers are paid $50 per hours.


Let X_i be the number of type $i$ containers shipped during a given week. Assume that the X_i's are independent and normally distributed. What is the distribution of the shipping company's revenue(assuming that the loading/unloading the container is the only cost incurred)?

Please help!
 
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