There are three scenarios for a project. The Best Case scenario has an NPV of $20,000 and probability of 30%. The Base Case scenario has an NPV of $1,000 and probability of 45%. The Worst Case scenario has an NPV of ($5,000) and a probability of 25%.

a. What is the expected NPV of the project?

b. What is the variance of the project?

c. What is the standard deviation of the project?

d. What is the Coefficient of Variation of the project?

Please show your work so that it is easy for me to understand the problem.

Thank you.