Recall our home sales' problem. You are deciding between three agents to act as your seller's agent. Each agent has the following information associated with him/her: Agent A: 20% chance of selling at $400K; 60% of selling at $375K, 20% chance of selling at $350K; will receive 4% commission on sale Agent B: 30% chance of selling at $400K; 40% of selling at $375K, 30% chance of selling at $350K; will receive 3% commission on sale Agent C: 100% chance of selling at $375K; will receive a 2.5% commission on sale Note their commission is on the gross (i.e., sale) price of the house 1) Build a decision tree to model your problem. 2) Create a risk profile for the agents' expected profit. Does any agent exhibit deterministic or stochastic dominance? 3) Discuss any insights you achieve from the analysis