Variance and standard deviation (expected). Hull Consultants, a famous think tank in the Midwest, has provided probability estimates for the four potential economic states for the coming year in the following table The probability of a boom economy is 10%, the probability of a stable growth economy is 16%, the probability of a stagnant economy is 45%, and the probability of a recession is 29% Calculate the variance and the standard deviation of the three investments stock, corporate bond, and government bond. If the estimates for both the probabilities of the economy and the returns in each state of the economy are correct, which investment would you choose, considering both risk and retur? Hint Make sure to round all intermediate calculations to at least seven (7) decimai places. The input instructions, phrases in parenthesis after each answer box, only apply for the answers you will type What is the variance of the stock investrpool [% (Round to six decimal places) - X Data table What is the standard deviation of the sta % (Round to two decimal places.) (Click on the following icon in order to copy its contents into a spreadsheet) What is the variance of the corporate bd Forecasted Returns for Each Economy 1% (Round to six decimal places) Stablo Investment Boom Growth Stagnant Recession What is the standard deviation of the col Stock 29% 11% 12% Corporate bond 8% 4% 0% (Round to two decimal places.) Government bond 3% What is the variance of the government [% (Round to six decimal places.) What is the standard deviation of the 90 Print Done % (Round to two decimal places) If the estimates for both the probabilities considering both risk and return? (Seleb 10% 9% 3% 5% 4%