$5\mathrm{.}7$ You are trying to develop a strategy for investing in two differ$-$ent stocks. The anticipated annual return for a $$1,000$ investment in each stock under four different economic conditions has the fol$-$lowing probability distribution:$$Returns$$Probability Economic Condition Stock X Recession$0\mathrm{.}10\mathrm{.}30\mathrm{.}40\mathrm{.}2$Slow growth$$Moderate growth Fast growth$-5020100150$Stock Y $-10050130200$Calculate the a$.$ expected return for stock X and for stock Y$.$ b$.$ standard deviation for stock X and for stock Y$.$ c$.$ Would you invest in stock X or stock Y$?$ Explain