 # 1950 randomly selected adults were asked if they think they are financially better off than their parents. The following table gives the two-way class Amari Flowers 2021-03-05 Answered
1950 randomly selected adults were asked if they think they are financially better off than their parents. The following table gives the two-way classification of the responses based on the education levels of the persons included in the survey and whether they are financially better off, the same as, or worse off than their parents
$\begin{array}{|cccc|}\hline & \text{Less Than High School}& \text{High School}& \text{More Than High School}\\ \text{Better off}& 140& 440& 430\\ \text{Same as}& 60& 230& 110\\ \text{Worse off}& 180& 280& 80\\ \hline\end{array}\phantom{\rule{0ex}{0ex}}$
Suppose one adult is selected at random from these 1950 adults. Find the following probablity.
$P\left(\text{more than high school or worse off}\right)=?$
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Step 1
the summarized table is as follows:
$\begin{array}{|ccccc|}\hline & \text{Less Than High School}& \text{High School}& \text{More Than High School}& \text{Total}\\ \text{Better off}& 140& 440& 430& 1010\\ \text{Same as}& 60& 230& 110& 400\\ \text{Worse off}& 180& 280& 80& 540\\ \text{Total}& 380& 950& 620& 1950\\ \hline\end{array}\phantom{\rule{0ex}{0ex}}$
Step 2
The required probability is as follows:
$P\left(\text{more than high school}\right)=P\left(\text{More than high school}\right)+P\left(\text{Worse off}\right)-P\left(\text{more than high school and worse off}\right)$
$=\frac{620}{1950}+\frac{540}{1950}-\frac{80}{1950}$ =0.558