An investor wants to invest money in Treasury bills and a risky fund managed by Infinity Capital. The investor wants to achieve an expected return of 10% on his complete portfolio. Infinity Capital has an expected return of 13% and a standard deviation of returns of 33%. T-bills have a return of 3%.

PART 1: What proportion of his total investment should he invest in the risky fund in order to achieve the expected return?

PART 2: What is the standard deviation of the complete portfolio?

PLEASE ANSWER BOTH AND SHOW WORK , THANKS!