Explanation Given info: There are 111,874 patients transported by ground and 47,637 patients transported by helicopter, in which 188 patients left the treatment center against the medical advice. Also, the 40 patients transported by helicopter are randomly selected without replacement. Calculation: 5% guideline for cumbersome calculations : When sampling is done without replacement and the sample size is not more than 5% of the size of the original population, then the sample selections can be treated as a sampling with independent selections. Here, there are 47,449 patients who did not leave against their medical advice. The sample size of 40 is clearly not more than 5% of the population size of 47,637. That is, 40 47 , 637 = 8 .39683 × 10 − 4 , which is less than 5%. Thus, by applying the 5% guideline for cumbersome calculations, the selection can be treated as independent. That is, 5% guideline for cumbersome calculations can be applied. That is, the event of ‘getting patient who did not leave the treatment center against the medical advice in the second selection’ is not affected by another event of ‘getting patient who did not leave the treatment center against the medical advice in first selection’. Similarly, the event of ‘getting patient who did not leave the treatment center against the medical advice in 40 th selection’ is not affected by the event of ‘getting patient who did not leave the treatment center against the medical advice in 39 th selection’ and up to the event of ‘getting patient who did not leave the treatment center against the medical advice in first selection’. The required probability is, P ( None of them left ) = P ( First patient who did not leave the medical center and Second patient who did not leave the medical center

Essentials of Statistics Plus MyLab Statistics with Pearson eText -- Access Card Package (6th Edition) (What's New in Statistics)

6th Edition

ISBN: 9780134858517

Author: Mario F. Triola

Publisher: PEARSON

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Chapter 4.2, Problem 30BSC

To determine

To find: The probability of randomly selecting 40 patients without replacement, in which none of them left the treatment center against the medical advice.

To check: Whether or not the 5% guideline for cumbersome calculations can be used.

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Chapter 4.2, Problem 29BSC

Chapter 4.2, Problem 31BB

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Essentials of Statistics Plus MyLab Statistics with Pearson eText -- Access Card Package (6th Edition) (What's New in Statistics)

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The probability of randomly selecting 40 patients without replacement, in which none of them left the treatment center against the medical advice. To check: Whether or not the 5% guideline for cumbersome calculations can be used.

Solution Summary: The author calculates the probability of randomly selecting 40 patients without replacement, in which none of them left the treatment center against the medical advice.

To find: The probability of randomly selecting 40 patients without replacement, in which none of them left the treatment center against the medical advice. To check: Whether or not the 5% guideline for cumbersome calculations can be used.

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Chapter 4 Solutions

To find: The probability of randomly selecting 40 patients without replacement, in which none of them left the treatment center against the medical advice.

To check: Whether or not the 5% guideline for cumbersome calculations can be used.