$3)$ You are considering the three securities listed below.

Returns

Probability Stock A Stock B Stock C

$20\%2\%-3\%5\%$

$50\%10\%8\%8\%$

$30\%15\%20\%12\%$

a$.$ Calculate the expected return for each security.

b$.$ Calculate the standard deviation of returns for each security.

c$.$ Compare Stock A with Stocks B and C$.$ Is Stock A preferred over the others?