Variance and standard deviation (expected). Hul 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 14%, the probability of a stable growth economy is 17%, the probabilty of a stagnant economy is 49%, and the probability of a recession is 20%. 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 retums in each state of the economy are correct, which investment would you choose, considering both risk and return? Hint Make sure to round all intermediate calculations to at least seven (7) decimal places. The input instructions, phrases in parenthesis after each answer box, only apply for the answers you will type. Data table (Click on the following icon 8 in order to copy its contents into a spreadsheet)