A wildcat oilman must decide how to finance the drilling of a well. It costs $100,000 to drill the well. The oilman has available three options: ai-finance the drilling himself (retaining all the...

A wildcat oilman must decide how to finance the drilling of a well. It costs $100,000 to drill the well. The oilman has available three options: ai-finance the drilling himself (retaining all the profits); a2-accept $70,000 from investors in return for paying them 50% of the oil profits; a3-accept $120,000 from investors in return for paying them 90% of the oil profits. The oil profits will be $30, where 0 is the number of barrels of oil in the well. From past data, it is believed that 0 = 0 with probability 0.9, while the 0> 0 have density.