Question

Use the following information to answer the next $12$exercises. The graph shown is based on more than $1,70,000$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 more than $81$?

Short answer

The probability that an Emotional Health Index Score is more than $81$is $0.5$.

Step-by-step solution

Given information

Given the Emotional Health Index Score

Explanation

We are assuming that all occupations are equally likely to occur while doing a random sample. Let A be the probability that an Emotional Health Index Score is more than $81$. From the graph, there are seven occupations (Farming, Fishing or forestry, teacher, physician, professional, nurse, business owner and managing, executive or officials) shown whose Emotional Health Index Score is more than $81$. So, the probability of A:

localid="1648751487048" $$\begin{gathered} P\left(A\right)=\frac{\text{No. of favourable outcome}}{\text{Total no. of outcome}} \\ P\left(A\right)=\frac{7}{14} \\ P\left(A\right)=\frac{1}{2} \\ P\left(A\right)=0.5 \end{gathered}$$