Education Level and Smoking At a large factory, the

Elementary Statistics: A Step By Step Approach | 9th Edition | ISBN: 9780073534985 | Authors: Allan Bluman

Problem 23RE Chapter 4

Elementary Statistics: A Step By Step Approach | 9th Edition

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Elementary Statistics: A Step By Step Approach | 9th Edition | ISBN: 9780073534985 | Authors: Allan Bluman

Elementary Statistics: A Step By Step Approach | 9th Edition

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Problem 23RE

Education Level and Smoking At a large factory, the employees were surveyed and classified according to their level of education and whether they smoked. The data are shown in the table.

If an employee is selected at random, find these probabilities.

a. The employee smokes, given that he or she graduated from college.

b. Given that the employee did not graduate from high school, he or she is a smoker. (4–3)

Step-by-Step Solution:

Step 1:

The data about the employees who are classified according to their level of education and whether they smoked is given.

                                         Educational level

Smoking habit

Not high school graduate

High school

graduate

College graduate

Total

Smoke

6

14

19

39

Do not smoke

18

7

25

50

Total

24

21

44

89

 An employee is selected randomly.

We have to find the following probabilities.

The employee smokes, given that he or she graduated from college.He or she is a smoker, given that the employee did not graduate from high school.

 Step 2:

By the classical definition of probability,

                                                             Probability = .

And by the definition of conditional probability,

                                                                P (A/B) =

(a)

The probability that the employee smokes, given that he or she graduated from college.

   P (that the employee smokes/ graduated from college) =

           P (that employee smokes graduated from the college) =                              

                                                 P (graduated from the college) =        

       P (that the employee smokes/ graduated from college) =         

                                                                                                   =  

                                                                                                   = 0.4318

Therefore, the probability that the employee smokes, given that he or she graduated from college is 0.4318.

 

Step 3 of 3

Chapter 4, Problem 23RE is Solved
Textbook: Elementary Statistics: A Step By Step Approach
Edition: 9th
Author: Allan Bluman
ISBN: 9780073534985

This full solution covers the following key subjects: employee, level, given, Education, according. This expansive textbook survival guide covers 33 chapters, and 1015 solutions. Elementary Statistics: A Step By Step Approach was written by and is associated to the ISBN: 9780073534985. The full step-by-step solution to problem: 23RE from chapter: 4 was answered by , our top Statistics solution expert on 09/01/17, 05:46AM. The answer to “Education Level and Smoking At a large factory, the employees were surveyed and classified according to their level of education and whether they smoked. The data are shown in the table. Screen Shot 2017-08-04 at 7.07.11 PM.png If an employee is selected at random, find these probabilities.a. The employee smokes, given that he or she graduated from college.________________b. Given that the employee did not graduate from high school, he or she is a smoker. (4–3)” is broken down into a number of easy to follow steps, and 75 words. Since the solution to 23RE from 4 chapter was answered, more than 1122 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Elementary Statistics: A Step By Step Approach , edition: 9th.

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