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Chapter 3: Q. 73 (page 221)

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?

Short Answer

Expert verified

The probability of the emotional health index score to be80.7or82.7is,P(A)=0.21.

Step by step solution

01

Given information

The Emotional Health Index Score80.7or82.7

02

Explanation

The probability of emotional health index score is,

Let the emotional health index score beA

P(A)=80.779.5+79.9+80.1+80.2+80.3+80.7+80.9+81.5+81.7+81.8+82.3+82.7+82.7+83.7+82.779.5+79.9+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)=80.71138.2+82.71138.2P(A)=0.14+0.0726P(A)=0.21

Conclusion :

Thus, the probability of emotional heath index score is,P(A)=0.21.

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Most popular questions from this chapter

Use the following information to answer the next two exercises. You see a game at a local fair. You have to throw a dart at a color wheel. Each section on the color wheel is equal in area.

Let B = the event of landing on blue.

Let R = the event of landing on red.

Let G = the event of landing on green.

Let Y = the event of landing on yellow.

If you land on Y, you get the biggest prize. Find P(Y).

At a college, 72%of courses have final exams and 46%of courses require research papers. Suppose that 32%of courses have a research paper and a final exam. Let F be the event that a course has a final exam. Let R be the event that a course requires a research paper.

a. Find the probability that a course has a final exam or a research project.

b. Find the probability that a course has NEITHER of these two requirements.

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.

Find P(C|L).

A school has 200 seniors of whom 140 will be going to college next year. Forty will be going directly to work.The remainder are taking a gap year. Fifty of the seniors going to college play sports. Thirty of the seniors going directly to work play sports. Five of the seniors taking a gap year play sports. What is the probability that a senior is taking a gap year?

A school has 200 seniors of whom 140 will be going to college next year. Forty will be going directly to work. The remainder are taking a gap year. Fifty of the seniors going to college play sports. Thirty of the seniors going directly to work play sports. Five of the seniors taking a gap year play sports. What is the probability that a senior is going to college and plays sports?
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