Suppose Emma invested $3,174 in Security A and $1,627 in security B. Calculate the standard deviation of her portfolio. Report your answer in decimal form, rounded to 4 decimal points.

Emma Li is considering two securities, A and B, and the relevant information is given below: State of Economy Return on Security A (%) Probability 0.1 Return on Security B (%) 0.9 Bear -8 Bull 1-0.1 8 0.9 Suppose Emma invested $3,174 in Security A and $1,627 in security B. Calculate the standard deviation of her portfolio. Report your answer in decimal form, rounded to 4 decimal points