You are trying to develop a robust investment strategy for a fund management company in two different stocks. The following probability distribution shows Stock X and Stock Y: Economic Condition Probability Return Stock X Stock Y Recession $0\mathrm{.}05-50-100$ Slow growth $0\mathrm{.}252050$ Moderate growth $0\mathrm{.}45100130$ Fast growth $0\mathrm{.}25150200$ Compute: a$)$ Expected return for Stock X and for Stock Y $(9$ pt$.)$ b$)$ Standard Deviation for Stock X and for Stock Y $(9$ pt$.)$ c$)$ Based on the prevailing market conditions, would you invest in stock X or stock Y$?$ Explain. $(2$ pt$.)$