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Use the following information to answer the next 12exercises. The graph shown is based on more than 1,70,000interviews done by Gallup that took place from January through December 2012. The sample consists of employed Americans 18years of age or older. The Emotional Health Index Scores are the sample space. We randomly sample one Emotional Health Index Score.

What is the probability that an Emotional Health Index Score is less than 80.2given that it is already less than81.

Short Answer

Expert verified

The probability of the emotional health index score being less than 80.2given that it is already less than81islocalid="1648913411483" PA<80.2|A<81is0.857.

Step by step solution

01

Given information

Given The Emotional Health Index Score

02

Explanation

Let the emotional health index score less than 80.2 be A

The probability of emotional health index score is,

localid="1649418868480" PA<80.2|A<81=37714PA<80.2|A<81=37×147PA<80.2|A<81=37×2PA<80.2|A<81=67=0.857

Conclusion :

Thus, the probability of emotional health index score isPA<80.2|A<81=0.857.

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Most popular questions from this chapter

Use the following information to answer the next 12 exercises. The graph shown is based on more than interviews done by Gallup that took place from January through December 2012. The sample consists of employed Americans 18years of age or older. The Emotional Health Index Scores are the sample space. We randomly sample one Emotional Health Index Score.

What is the probability that an Emotional Health Index Score is less than 80.2given that it is already less than 81.

Use the following information to answer the next 12exercises. The graph shown is based on more than 170,000interviews done by Gallup that took place from January through December 2012. The sample consists of employed Americans 18years 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

What is the sum of the probabilities of an event and its complement?

Use the following information to answer the next six exercises. There are 23 countries in North America, 12 countries in South America, 47 countries in Europe, 44 countries in Asia, 54 countries in Africa, and 14 in Oceania (Pacific Ocean

region).

Let A = the event that a country is in Asia.

Let E = the event that a country is in Europe.

Let F = the event that a country is in Africa.

Let N = the event that a country is in North America.

Let O = the event that a country is in Oceania.

Let S = the event that a country is in South America.

Find P(N).

In a bag, there are six red marbles and four green marbles. The red marbles are marked with the numbers 1, 2, 3,4, 5, and 6. The green marbles are marked with the numbers 1, 2, 3, and 4.

• R = a red marble

• G = a green marble

• O = an odd-numbered marble

• The sample space is S = {R1, R2, R3, R4, R5, R6, G1, G2, G3, G4}.

S has ten outcomes. What is P(G AND O)?

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