Consider the following probability distribution for stocks A and B: $$\begin{array} { c c c c }
\text { State } & \text { Probability } & \text { Return on Stock A } & \text { Return on Stock B } \
1 & 0.15 & 8 \% & 8 \% \
2 & 0.20 & 13 \% & 7 \% \
3 & 0.15 & 12 \% & 6 \% \
4 & 0.30 & 14 \% & 9 \% \
5 & 0.20 & 16 \% & 11 \% \
\hline
\end{array}$$ The standard deviations of stocks A and B are _____ and _____, respectively.
A) 1.56%; 1.99%
B) 2.45%; 1.66%
C) 3.22%; 2.01%
D) 1.54%; 1.11%

Question

Consider the following probability distribution for stocks A and B: $$\begin{array} { c c c c } 
\text { State } & \text { Probability } & \text { Return on Stock A } & \text {  Return on Stock B } \
1 & 0.15 & 8 \% & 8 \% \
2 & 0.20 & 13 \% & 7 \% \
3 & 0.15 & 12 \% & 6 \% \
4 & 0.30 & 14 \% & 9 \% \
5 & 0.20 & 16 \% & 11 \% \
\hline
\end{array}$$ The standard deviations of stocks A and B are _____ and _____, respectively.
A) 1.56%; 1.99%
B) 2.45%; 1.66%
C) 3.22%; 2.01%
D) 1.54%; 1.11%

Quizplus · Accepted Answer

The standard deviation is calculated by finding the square root of the variance, which is the weighted average of the squared deviations from the mean. For Stock A, the standard deviation is 2.45%, and for Stock B, it is 1.66%.

Consider the Following Probability Distribution for Stocks a and B