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At the beginning of a certain study of a group of persons,

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 11E Chapter 1.5

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 11E

PROBLEM 11E

At the beginning of a certain study of a group of persons, 15% were classified as heavy smokers, 30% as light smokers, and 55% as nonsmokers. In the fiveyear study, it was determined that the death rates of the heavy and light smokers were five and three times that of the nonsmokers, respectively.Arandomly selected participant died over the five-year period; calculate the probability that the participant was a nonsmoker.

Step-by-Step Solution:

Answer :

Step 1 of 2 :

Given,

At the beginning of a certain study of a group of person.

15% were classified as heavy smokers = 0.15

30% as light smokers  = 0.30 and

55% were classified as nonsmokers = 0.55.

In the five year study, it was determined that the death rates of the heavy and light smokers were five and three times that of the nonsmokers, respectively. A randomly selected participant died over the five-year period.

The claim is to find the probability that the participant was a nonsmoker.

Let, P(H) = 0.15

       P(L) = 0.30 and

      P(N) = 0.55

Step 2 of 2

Chapter 1.5, Problem 11E is Solved
Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

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