Use this table for the next $5$ questions : Bacon and Associates $,$ a famous Northwest think tank $,$ has provided probability estimates for the four potential economic states for the coming year $.$ The probability of a boom economy is $20\%,$ the probability of a stable growth economy is $45\%,$ the probability of a stagnant economy is $20\%,$ and the probability of a recession is $15\%.$ INVESTMENT Forecasted Returns for Each Economy Boom Stable Stagnant Recession Growth Stock $25\%12\%$; $-12\%$; $4\backslash \%5\backslash \%9\%7\%3\%$ Corporate Bond Government $8\%6\%4\%2\%$ Bond Estimate the expected return on the stock $.$Estimate the expected return on the corporate bond $.6\mathrm{.}526\mathrm{.}995\mathrm{.}976\mathrm{.}4\%5\mathrm{.}90$ Estimate the expected return on the government bond $.5\mathrm{.}8\%.6\mathrm{.}0\%.5\mathrm{.}4\%5\mathrm{.}6\%5\mathrm{.}2\%$Using the table from the previous problem $,$ calculate the variance of the stock $0\mathrm{.}0178\mathrm{.}0145\mathrm{.}01220\mathrm{.}0126\mathrm{.}0134$ Using the table from the previous problem $,$ calculate the standard deviation of the corporate bond $.0543\mathrm{.}0345\mathrm{.}0734\mathrm{.}0191\mathrm{.}0277$