Q 39. Airport security The Transportat... [FREE SOLUTION]

Daren Starnes, Josh Tabor

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 837 pages

ISBN: 9781319113339

Chapter 7: Q 39. (page 462)

Airport security The Transportation Security Administration (TSA) is responsible for
airport safety. On some flights, TSA officers randomly select passengers for an extra security check before boarding. One such flight had $76$ 辫补蝉蝉别苍驳别谤蝉鈥� $12$ in first class and $64$ in coach class. TSA officers selected an SRS of $10$ passengers for screening. Let $\overset{铃�}{p}$ be the proportion of first-class passengers in the sample.
a. Is the 10% condition met in this case? Justify your answer.
b. Is the Large Counts condition met in this case? Justify your answer.

Expert verified

a. No.

b. Condition of large counts is not met.

It is given that out of $76$ passengers, $12$ in first class and $64$ in coach class.

It is not met as sample size of $10$ is greater than $10 %$ of population size of $76$ .

The sample size is $10$ as $10$ samples are taken for screening.

Neither $np nor n (1 - p)$ will be at least $10$ .

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