please show all work and use the formula.

13. Your company faces three possible economic scenarios. Under each scenario, a NPV is estimated with a probability of occurrence, as indicated in the table below. Case Probability NPV Worst 20% -30 Base 60% Best 20% 50 a) What is the expected NPV? Formula: E(NPV) = 10 (Pi" NPV) (4 points) b) What is the standard deviation of NPV? (6 points). Formula: (NPV - NPV) P