Shares of Rampage are currently priced at $$49\mathrm{.}00$ per share. There is a $70\%$ probability of a good outcome and a $30\%$ probability of a bad outcome. In the good outcome, Rampage would be priced at $$55\mathrm{.}66$ in $1$ year and would pay a dividend of $$4\mathrm{.}12$ in $1$ year. In the bad outcome, Rampage would be priced at $$39\mathrm{.}78$ in $1$ year and would pay a dividend of $$0\mathrm{.}89$ in $1$ year. What is the expected standard deviation of Rampage stock$$s returns? Answer in decimal format, rounded to the nearest hundredth of a percent $($for example, $1\mathrm{.}23\%$ would be entered as $0\mathrm{.}0123).$