A survey asked respondents to indicate their level of satisfaction with government spending. The results are show below.

$\begin{array} { c c }
\hline \text { Response } & \text { Number } \
\hline \text { Very satisfied } & 924 \
\text { Somewhat satisfied } & 4,921 \
\text { Dissatisfied } & 4,036 \
\hline \text { Total } & 9,881
\end{array}$

What is the probability that a sampled person was only somewhat satisfied or dissatisfied with government's
Spending?
A) 0.897
B) 0.094
C) 0.906
D) 0.103

Question

A survey asked respondents to indicate their level of satisfaction with government spending. The results are show below.

$\begin{array} { c c } 
\hline \text { Response } & \text { Number } \
\hline \text { Very satisfied } & 924 \
\text { Somewhat satisfied } & 4,921 \
\text { Dissatisfied } & 4,036 \
\hline \text { Total } & 9,881
\end{array}$
 
What is the probability that a sampled person was only somewhat satisfied or dissatisfied with government's
Spending?
A) 0.897
B) 0.094
C) 0.906
D) 0.103

Quizplus · Accepted Answer

To find the probability that a sampled person was only somewhat satisfied or dissatisfied with government's spending, we need to add the number of respondents who were somewhat satisfied to the number of respondents who were dissatisfied, and then divide by the total number of respondents.

\begin{align*}
P(	ext{Somewhat satisfied or dissatisfied}) &= \frac{	ext{Number of somewhat satisfied} + 	ext{Number of dissatisfied}}{	ext{Total number of respondents}} \
&= \frac{4,921 + 4,036}{9,881} \
&= \frac{8,957}{9,881} \
&\approx 0.906
\end{align*}

Thus, the probability that a sampled person was only somewhat satisfied or dissatisfied with government's spending is 0.906, which is closest to choice C (0.906).

A Survey Asked Respondents to Indicate Their Level of Satisfaction