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Consider the treatments in Exercise 2-57. Suppose a

Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger ISBN: 9781118539712 55

Solution for problem 228SE Chapter 2.8

Applied Statistics and Probability for Engineers | 6th Edition

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Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger

Applied Statistics and Probability for Engineers | 6th Edition

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Problem 228SE

Problem 228SE

Consider the treatments in Exercise 2-57. Suppose a patient is selected randomly. Let A denote the event that the patient is treated with ribavirin plus interferon alfa or interferon alfa, and let B denote the event that the response is complete. Determine the following probabilities.

2-57. The article “Term Efficacy of Ribavirin Plus Interferon Alfa in the Treatment of Chronic Hepatitis C,” [Gastroenterology (1996, Vol. 111, no. 5, pp. 1307–1312)], considered the effect of two treatments and a control for treatment of hepatitis C. The following table provides the total patients in each group and the number that showed a complete (positive) response after 24 weeks of treatment.

Let A denote the event that the patient was treated with ribavirin plus interferon alfa, and let B denote the event that the response was complete. Determine the number of patients in each of the following events.

Step-by-Step Solution:

Solution:

Step 1 of 3:

The total patients in each group and the number that showed a complete (positive) response after 24 weeks of treatment is given.

                                                          Complete Response                     Total

Ribavirin plus interferon alfa

 16

21

Interferon alfa

6

19

Untreated controls

0

20

We have to find the following probabilities.

  1. P(A/B)
  2. P(B/A)
  3. P(A
  4. P(AB)


Step 2 of 3

Chapter 2.8, Problem 228SE is Solved
Step 3 of 3

Textbook: Applied Statistics and Probability for Engineers
Edition: 6
Author: Douglas C. Montgomery, George C. Runger
ISBN: 9781118539712

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Consider the treatments in Exercise 2-57. Suppose a