Expected rate of return and$$ risk$)$ Syntex, Inc. is considering an investment in one of two common stocks. Given the information that$$ follows, which investment is$$ better, based on the risk$($as measured by the standard$$ deviation$)$ and$$ return?

Common Stock A$$

Common Stock B$$

Probability

Return

Probability

Return

$0\mathrm{.}25$

$13\%$

$0\mathrm{.}10$

negative $7\%$

$0\mathrm{.}50$

$16\%$

$0\mathrm{.}40$

$5\%$

$0\mathrm{.}25$

$21\%$

$0\mathrm{.}40$

$13\%$

$0\mathrm{.}10$

$20\%$

$($Click on the icon in order to copy its contents into a spreadsheet.$)$

Question content area bottom

Part $1$

a$.$Given the information in the$$ table, the expected rate of return for stock A is

$$

$16\mathrm{.}5\%.($Round to two decimal$$ places.$)$

Part $2$

The standard deviation of stock A is

$$

enter your response here$\%.($Round to two decimal$$ places.$)$