Your midrange guess as to the amount of oil in a prospective field is 10 million barrels, but in fact there is a 50% chance that the amount of oil is 15 million barrels and a 50% chance of 5 million barrels. If the actual amount of oil is 15 million barrels, the present value of the cash flows from drilling will be $8 million. If the amount is only 5 million barrels, the present value will be only $2 million. It costs $3 million to drill the well. Suppose that a seismic test costing $100,000 can verify the amount of oil under the ground. Is it worth paying for the test? Use a decision tree to justify your answer.