$1.$Following are three economic states, their likelihoods, and the potential returns:

Economic State Probability Return

Fast growth $0\mathrm{.}2333\%$

Slow growth $0\mathrm{.}327$

Recession $0\mathrm{.}4511$

Determine the standard deviation of the expected return.

Note: Do not round intermediate calculations and round your answer to $2$ decimal places.

$2.$If the risk$-$free rate is $5\mathrm{.}6$ percent and the risk premium is $3\mathrm{.}6$ percent, what is the required return?

Note: Round your answer to $1$ decimal place.

$3.$ You have a portfolio with a beta of $1\mathrm{.}51.$ What will be the new portfolio beta if you keep $93$ percent of your money in the old portfolio and $7$ percent in a stock with a beta of $0\mathrm{.}88?$

Note: Do not round intermediate calculation and round your answer to $2$ decimal places.