You are trying to develop a strategy for investing in two different stocks. The anticipated annual return for a $$1,000$ investment in each stock under four different economic conditions has the probability distribution shown to the right. Complete parts $($a$)$ through $(g$ below.

$\backslash$table$[[,,$Returns$],[$Probability$,$Economic Condition,Stock X$,$Stock Y$],[0\mathrm{.}1,$Recession,$-50,-200],[0\mathrm{.}3,$Slow growth,$20,40],[0\mathrm{.}4,$Moderate growth,$110,140],[0\mathrm{.}2,$Fast growth,$170,190]]$

a$.$ Compute the expected return for stock $x$ and for stock $Y.$

The expected return for stock $x$ is $

$($Type an integer or a decimal. Do not round.$)$

The expected return for stock $Y$ is $

$($Type an integer or a decimal. Do not round.$)$

b$.$ Compute the standard deviation for stock $x$ and for stock $Y.$

The standard deviation for stock $x$ is $

$($Round to two decimal places as needed.$)$

The standard deviation for stock $Y$ is $

$($Round to two decimal places as needed.$)$

c$.$ Would you invest in stock $x$ or stock $Y?$ Explain. Choose the correct answer below. risk of stock $Y,$ stock $x$ should be invested in$.$ risk of stock $x,$ stock $Y$ should be invested in$.$

C$.$ Based on the expected value, stock $Y$ should be chosen. However, stock $Y$ has a larger standard deviation, resulting in a higher risk, which should be taken into consideration.