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Chapter 3: Q. 74 (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.

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 12exercises. The graph shown is based on more than localid="1648902668215">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.

If we know an Emotional Health Index Score is 81.5 or more, what is the probability that it is 82.7.

You have a fair, well-shuffled deck of 52 cards. It consists of four suits. The suits are clubs, diamonds, hearts and spades. There are 13 cards in each suit consisting of 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, J (jack), Q (queen), K (king) of that suit. Three cards are picked at random.

a. Suppose you know that the picked cards are Q of spades, K of hearts and Q of spades. Can you decide if the sampling was with or without replacement?

b. Suppose you know that the picked cards are Q of spades, K of hearts, and J of spades. Can you decide if the sampling was with or without replacement?

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?

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Let H = the event of getting a hat.

Let N = the event of getting a noisemaker.

Let F = the event of getting a finger trap.

Let C = the event of getting a bag of confetti.

Find P(C).
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