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Chapter 3: Q. 38 (page 217)

Use the following information to answer the next two exercises. You are rolling a fair, six-sided number cube. Let E = the event that it lands on an even number. Let M = the event that it lands on a multiple of three.

What does P(E|M) mean in words?

Short Answer

Expert verified

P(E∣M)Indicates the likelihood that the cube will fall on an even number if the number is a multiple of three.

Step by step solution

01

Introduction

The term "probability" simply refers to the likelihood of something occurring. We may talk about the probabilities of particular outcomes—how likely they are—when we're unclear about the result of an event. Statistics is the study of occurrences guided by probability.
02

Explanation

The likelihood of receiving event A if event B has already happened is known as conditional probability.

P[A|B] is the notation for indicating conditional Probability.

P(E∣M) Indicates the conditional likelihood of receiving event E if event M has already occurred. Which indicates the chances of the cube landing on an even number if the number is a multiple of three.

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Most popular questions from this chapter

Use the following information to answer the next two exercises. You are rolling a fair, six-sided number cube. Let E = the event that it lands on an even number. Let M = the event that it lands on a multiple of three.

What does P(E OR M) mean in words?

The graph in Figure 3.11displayed concerning their approval of Mayor Ford’s actions in office. The total number in the sample of all the age groups is 1.045.

a. Define three events in the graph.

b. Describe in words what the entry 40means.

c. Describe in words the complement of the entry in question 2.

d. Describe in words what the entry 30means.

e. Out of the males and females, what percent are males?

f. Out of the females, what percent disapprove of Mayor Ford?

g. Out of all the age groups, what percent approve of Mayor Ford?

h. Find P(Approve| Male).

i. Out of the age groups, what percent are more than 44years old?

j. Find P(Approve| Age < 35).

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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?

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.

If all occupations are equally likely for a certain individual, what is the probability that he or she will have an occupation with lower than averageEHIS?
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