Suppose the prospects for recovering principal for a defaulted bond issue depend on which of two economic scenarios prevails. Scenario 1 has probability 0.75 and will result in recovery of $0.90 per $1 principal value with probability 0.45, or in recovery of $0.80 per $1 principal value with probability 0.55. Scenario 2 has probability 0.25 and will result in recovery of $0.50 per $1 principal value with probability 0.85, or in recovery of $0.40 per $1 principal value with probability 0.15.

A. Compute the probability of each of the four possible recovery amounts: $0.90, $0.80, $0.50, and $0.40.

B. Compute the expected recovery, given the first scenario.

C. Compute the expected recovery, given the second scenario.

D. Compute the expected recovery.

E. Graph the information in a tree diagram

(Please explain this step-by-step, if possible to get a full understanding of this concept.)