Use the following return distributions for the two funds for the next $4$ questions.

Business Conditions

Probability

Return on Stock Fund

Return on Bond Fund

Boom

$30$

$35\%$

$-6\%$

Normal

$50$

$15\%$

$16\%$

Recession

$20$

$-10\%$

$12\%$

How much is the expected return on the stock fund?

How much is the standard deviation of the return on the stock fund?

Assume that of your $$10,000$ portfolio, you invest $$9,000$ in Stock fund and the rest $$1,000$ in Bond fund. What is the expected return on your portfolio?

What is the standard deviation of the above portfolio?