2. (5 points) You are considering two investments plans, Plan A and Plan B, each with three possible outcomes/returns - High, Average, Low - with the following probabilities: High (probability=0.3); Average (probability= 0.5); Low (probability= 0.2). The profits for each investment plan under the three possible outcomes are: Outcome (Returns) High Average Low Plan A $250,000 $220,000 $140,000 Plan B $400,000 $230,000 $20,000 a. Calculate the expected value for each investment plans A and B. b. Which alternative is riskier? Explain. (Calculate the standard deviation of profits.) c. Taking into account risk, explain which investment Plan, A or B, you should choose.