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Buchanan Corp. forecasts the following payoffs from a project

Buchanan Corp. forecasts the following payoffs from a project: Outcome Probability of Outcome Assumptions $1000 50% Pessimistic $3000 60% Moderately Successful $6000 50% Optimistic What is the expected value of the outcomes? 1. $3000 2. $3333 3. $5300 (This is the wrong answer!) 4. The forecast is incorrect and must be modified before finding the expected value. Please show your work.