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The graph shown is based on more than 170,000 interviews done by Gallup that too

ID: 3173632 • Letter: T

Question

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. (Round your answer to four decimal places.)

Emotional Health Index Score Service Transportation Manufacturing or production Sales Clerical or office Installation and repair Construction or mining Manager, executive, or official Business owner Nurse Professional Farming, fishing, or forestry Teacher (K-12) Physician 77 78 79 80 81 82 83 84 85,

Explanation / Answer

According to the classical definition of probability,probability of an event, say A can be defined as

P(A)=no.of favourable outcomes to the event A / total no.of outcomes

If we observe the graph we can see that people with two occupations such as farming and teaching achieved health index score of 82.7 out of 14 occupations.

Probability that an emotional health index score is 82.7 = 2/14 = 0.1428

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