The owner of Firewood-2-Go is considering buying a hydraulic wood splitter which sells for $60000. He figures it will cost an additional $80 per cord to purchase and split wood with this machine, while he can sell each cord of split wood for $100.
Demand for cords of wood can be modeled by using a Normal Distribution with a Mean of 3070 units and a Standard Deviation of 70 units. What is the Probability that you will make money using this machine?