## Elementary Statistics (12th Edition)

Published by Pearson

# 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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