Problem
The use of three estimates (defined here as H = high, L = low, and M = most likely) for random variables is a practical technique for modeling uncertainty in some engineering economy studies. Assume that the mean and variance of the random variable, Xk, in this situation can be estimated by E(Xk) = (1/6)(H + 4M + L) and V(Xk) = [(H - L)/6] 2. The estimated net cash-flow data for one alternative associated with a project are shown in Table P12-17. The random variables, Xk, are assumed to be statistically independent, and the applicable MARR = 15% per year. Based on this information,
a. What are the mean and variance of the PW?
b. What is the probability that PW ≥ 0 (state any assumptions that you make)?
c. Is this the same as the probability that the IRR is acceptable? Explain.
The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.