Varlance and standard deviation (expected). Bacon and Associates, a famous Northwest think tank, has provided probability estimates for the four potential economic states for the coming yoar in the following table: The probability of a boom econorny is 25%, the probability of a stable growth economy is 40%, the probability of a stagnant economy is 22%, and the probablity of a recession is 13%. 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 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 0 , in order to copy its contents into a spreadsheet)