Elementary Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321836960
ISBN 13: 978-0-32183-696-0

Chapter 5 - Discrete Probability Distributions - 5-3 Binomial Probability Distributions - Basic Skills and Concepts: 3

Answer

The selections are not independent. They can be treated as independent. The probability can be found by using the binomial probability formula.

Work Step by Step

The survey was done without replacement, therefore the selections are not independent, but are dependent. We know that there is a 5% guideline for calculations like this and here, 30 is 3% of 1000, 3%<5%, therefore they can be treated as independent. The probability can be indeed found by using the binomial probability formula.
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