A lab orders a shipment of 100 rats a week, 52 weeks a year, from a rat supplier for experiments that the lab conducts. Prices for each weekly shipment of rats follow the distribution below:
![](data:image/png;base64, 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)
How much should the lab budget for next year's rat orders assuming this distribution does not change. (Hint: find the expected price.)
◦ $1288.00
◦ $12.88
◦ $3,481,400.00
◦ $669.50