2. (50 points) (This problem is similar to problem 4.0.4 in notes). Canada Rail offers direct rail service from Toronto to Vancouver. Ticket prices depends directly on demand and there are two types of services. Management developed estimates of the contribution to profit for each type of service based on two possible levels of demand. The following table shows the estimated quarterly profits (in thousands of dollars): Demand for Service Service Strong Weak Full Price $1040 -8570 Discount 8700 $300 1. What is the decision to be made? What is the chance event and what is the consequence for this problem? How many decision alternatives are there? How many outcomes are there for the chance event? 2. Suppose that management believes that the probability of strong demand is 0.7 and the probability of weak demand is 0.3. Use the expected value approach to determine an optimal decision. 3. Determine the probability for which both the decision alternatives have the same expected value