Given the following information, what is the standard deviation for this stock?

$($Hint you'll need to find the expected return first$)$

Probabilities:

Recession: $0\mathrm{.}3$

Normal: $0\mathrm{.}55$

Boom: $0\mathrm{.}15$

Returns:

Recession:$-11\%$

Normal: $9\%$

Boom: $13\%$