Consider the following information on two stocks:

P$($State$)$ Stock A Stock B

Boom $20\%30\%20\%$

Normal $50\%12\%-5\%$

Slow $15\%4\%8\%$

Recession $15\%-10\%10\%$

$Investment Beta

Asset A $$35,0001\mathrm{.}45$

Asset B $$15,0000\mathrm{.}85$

Q$1.$ Calculate the weight of A in the portfolio. $($Enter percentages as decimals and round to $4$ decimals$)$

Q$2.$ Calculate the expected return on the portfolio. $($Enter percentages as decimals and round to $4$ decimals$)$

Q$3.$ Calculate the standard deviation of the portfolio. $($Enter percentages as decimals and round to $4$ decimals$)$