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Chapter 3: Q. 71 (page 221)

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.

Find the probability that an Emotional Health Index Score is between 80.5 and 82?

Short Answer

Expert verified

The probability of emotional health index score to be between 80.5and 82is,PA=0.357.

Step by step solution

01

Given information

Given the Emotional Health Index Score

The emotional health index score between 80.5and82.

02

Explanation

The probability of emotional health index score is,

P(A)=80.7+80.9+81.5+81.7+81.879.6+80+80.1+80.2+80.3+80.7+80.9+81.5+81.7+81.8+82.3+82.7+82.7+83.7P(A)=406.61138.2=0.357

Conclusion :

Thus, the probability of emotional health index score is,PA=0.357.

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Most popular questions from this chapter

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.


What is the probability that an Emotional Health Index Score is 80.7or 82.7?

Let event A = learning Spanish. Let event B = learning German. Then A AND B = learning Spanish and German.Suppose P(A) = 0.4 and P(B) = 0.2. P(A AND B) = 0.08. Are events A and B independent? Hint: You must show ONE of the following:

• P(A|B) = P(A)

• P(B|A) = P(B)

• P(A AND B) = P(A)P(B)

United Blood Services is a blood bank that serves more than 500hospitals in 18 states. According to their website, a person with type O blood and a negative Rh factor (Rh-) can donate blood to any person with any blood type. Their data show that 43% of people have type O blood and 15% of people haveRh- factor; 52%of people have type O or Rh- factor.

a. Find the probability that a person has both typeO blood and the Rh- factor.

b. Find the probability that a person does NOT have both type O blood and the Rh- factor

Forty-eight percent of all Californians registered voters prefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among Latino California registered voters, 55%prefer life in prison without parole over the death penalty for a person convicted of first degree murder. 37.6%of all Californians are Latino. In this problem, let: • C = Californians (registered voters) preferring life in prison without parole over the death penalty for a person convicted of first degree murder. L = Latino Californians. Suppose that one Californian is randomly selected.

Are L and C independent events? Show why or why not.

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).
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