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Identifying Binomial Distributions. In | Ch 5.3 - 9BSC

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 9BSC Chapter 5.3

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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Problem 9BSC

Problem  9BSC

 

Identifying Binomial Distributions. In Exercises, determine whether the given procedure results in a binomial distribution (or a distribution that can be treated as binomial). For those that are not binomial, identify at hast one requirement that is not satisfied

Surveying Senators The current Senate consists of 83 males and 17 females. Forty different senators are randomly selected without replacement, and the gender of each selected senator is recorded.

Step-by-Step Solution:
Step 1 of 3

Solution  9BSC

 

To be a binomial probability distribution, a procedure must satisfy the preceding four requirements:

1. The procedure has a fixed number of trials. Here, 40 different senators were randomly selected.

2. The trials must be independent. Here, the population consists of 83 males and 17 females, that is, population size is 100. We are given that sample is selected without replacement. They are not independent. (Since the sample size is more than 5% of the population (40% of the population). From the 5% Guideline for Cumbersome Calculations, also they are not independent.)

3. Each trial must have all outcomes classified into two categories. Here, responses were recorded into two categories, male and female.

4. The probability of success remains the same in all trials.

Since trials are not independent, the second requirement is not satisfied. So, this is a distribution that cannot be treated as binomial.

Step 2 of 3

Chapter 5.3, Problem 9BSC is Solved
Step 3 of 3

Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

This full solution covers the following key subjects: binomial, selected, senators, distribution, males. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. The answer to “Identifying Binomial Distributions. In Exercises, determine whether the given procedure results in a binomial distribution (or a distribution that can be treated as binomial). For those that are not binomial, identify at hast one requirement that is not satisfiedSurveying Senators The current Senate consists of 83 males and 17 females. Forty different senators are randomly selected without replacement, and the gender of each selected senator is recorded.” is broken down into a number of easy to follow steps, and 67 words. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. Since the solution to 9BSC from 5.3 chapter was answered, more than 405 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 9BSC from chapter: 5.3 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM.

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Identifying Binomial Distributions. In | Ch 5.3 - 9BSC