A oil exploration company is considering an investment of $100 million in some land. They believe the probability is 0.60 that a significant reserve of oil will be discovered on the land if there is economic growth and oil is discovered the land will be worth $200 million and if oil is not discovered the land will be worth $120 million if there is recession and oil is discovered the land will be worth $150 million and if oil is not discovered the land will be worth $80 million they believe that the probability is 0.75 of growth and 0.25 of recession ( so you don't have to consider the probability of stagnation).

a) drama tree diagram that shows the four outcomes. Label the outcomes at the leaves and label the branches with their probability.

b) determine the expected value of this investment and explain what it means