There are three economy situations and two stocks. Information is as follows. Assume you have $\%10,000$ and allocate $$4,000$ on stock A$.$

Economy

Stock A

Stock B

Booming

$0\mathrm{.}2$

$10\%$

$20\%$

Neutral

$0\mathrm{.}3$

$5\%$

$0\%$

Recession

$0\mathrm{.}5$

$0\%$

$-10\%$

$($Answer format: keep $1$ digit after decimal point in $\%.$ For example, $1\mathrm{.}56\%->1\mathrm{.}6\%)$

a$.$ What are the expected returns for both stock A and B $,$ respectively?

b$.$ What is the standard deviation$/$ risk for stock A$?$

c$.$ What is the expected portfolio?

d$.$ What is the portfolio return when economy is booming?