Stocks A$,$ B$,$ and C all have an expected return of $10\%$ and a standard deviation of $25\%.$ Stocks A and B have returns that are independent of one another, i$.$e$.,$ their correlation coefficient, $r,$ equals zero. Stocks A and $C$ have returns that are negatively. correlated with one another, i$.$e$.,r$ is less than $0.$ Portfolio $AB$ is a portfolio with half of its money invested in Stock A and half in Stock B$.$ Portfolio AC is a portfolio with half of its money invested in Stock A and half invested in Stock C$.$ Which of the following statements is CORRECT?

Portfolio AC has an expected return that is greater than $25\%.$

Portfolio AB has a standard deviation that is equal to $25\%.$

Portfolio AC has a standard deviation that is less than $25\%.$

Portfolio AC has an expected return that is less than $10\%.$

Portfolio $AB$ has a standard deviation that is greater than $25\%$