Question

Use the The graph shown is based on more than$170,000$interviews done by Gallup that took place from January through December $2012$. The sample consists of employed Americans $18$ years of age or older. The Emotional Health Index Scores are the sample space. We randomly sample one Emotional Health Index Score.

Find the probability that an Emotional Health Index Score is $82.7$

Short answer

The probability that an Emotional health index Score is$0.1429$

Step-by-step solution

Content Introduction

According to available data $170,000$interviews were done by Gallup on employed Americans of $18ormore$age. In graph $14$occupations were given with EHI scores.

Content Explanation

From the figure observe the only two occupations among $14$available options have EHI scores $82.7$

$$\begin{gathered} p=\frac{numberofoccupationwith82.7EHI\hspace{0.17em}score}{totaloccupation} \\ p=\frac{2}{14} \\ p=0.1429 \end{gathered}$$