You have $$380,000$ invested in a well$-$diversified portfolio. You inherit a house that is presently worth $$170,000.$ Consider the summary measures in the following table:

Investment Expected Return Standard Deviation

Old portfolio $8\%8\%$

House $15\%17\%$

The correlation coefficient between your portfolio and the house is $0\mathrm{.}48.$

a$.$ What is the expected return and the standard deviation for your portfolio comprising your old portfolio and the house? $($Do not round intermediate calculations. Round your final answers to $2$ decimal places.$)$

Expected return

$\%$

Standard deviation

$\%$

b$.$ Suppose you decide to sell the house and use the proceeds of $$170,000$ to buy risk$-$free T$-$bills that promise a $11\%$ rate of return. Calculate the expected return and the standard deviation for the resulting portfolio. $[$Hint: Note that the correlation coefficient between any asset and the risk$-$free T$-$bills is zero.$]($Do not round intermediate calculations. Round your final answers to $2$ decimal places.$)$

Expected return

$\%$

Standard deviation

$\%$