$5)$ Assume that the expected returns for stocks B and C are $4\%$ and $7\mathrm{.}5\%,$ and that their standard deviations are $14\mathrm{.}5\%$ and $5\mathrm{.}32\%.$ If their correlation is $-\mathrm{.}5,$ what is the expected return and the SD for a portfolio consisting of $40\%$ Stock B and $60\%$ Stock C$?$

A$.5\mathrm{.}75\%,5\mathrm{.}03\%$

B$.6\mathrm{.}1\%,5\mathrm{.}03\%$

C$.6\mathrm{.}1\%,6\mathrm{.}60\%$

D$.6\mathrm{.}1\%,3\mathrm{.}34\%$

$9)$Suppose investors in Acme Co$.,$ Inc. expect to earn a return of $7\%($with a $15\%$ probability$),$ a return of $12\%($with a $70\%$ probability$)$ and a $17\%$ return $($with a probability of $15\%).$ What is the expected return for Acme$$s stock?

A$.8\mathrm{.}3\%$

B$.30\mathrm{.}0\%$

C$.12\mathrm{.}0\%$

D$.14\mathrm{.}6\%$