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Get Full Access to Mathematics: A Discrete Introduction - 3 Edition - Chapter 22 - Problem 22.17
Get Full Access to Mathematics: A Discrete Introduction - 3 Edition - Chapter 22 - Problem 22.17

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# A flagpole is n feet tall. On this pole we display flags of the following types: red

ISBN: 9780840049421 447

## Solution for problem 22.17 Chapter 22

Mathematics: A Discrete Introduction | 3rd Edition

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Problem 22.17

A flagpole is n feet tall. On this pole we display flags of the following types: red flags that are 1 foot tall, blue flags that are 2 feet tall, and green flags that are 2 feet tall. The sum of the heights of the flags is exactly n feet. Prove that there are 2 3 2 n C 1 3 .1/n ways to display the flags.

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STAT 206: Chapter 2 (Organizing and Visualizing Variables)  Methods to Organize and Visualize Variables  For Categorical Variables:  Summary Table; contingency table (2.1)  Bar chart, pie chart, Pareto chart, side-by-side bar chart (2.2)  For Numerical Variables  (Array), Ordered Array, frequency distribution, relative frequency distribution, percentage distribution, cumulative percentage distribution (2.3)  Stem-and-Leaf display, histogram, polygon, cumulative percentage polygon (2.4)  Other methods later…  2.1 Organizing Categorical Variables  Must identify variable type to determine the appropriate organization and visualization tools èRecall Variable Types  Categorical (Category)  Nominal – Name of a Category  Ordinal – Has a natural ordering  Numerical / Quantitative (Quantity)  Discrete – distinct cutoffs between values  Continuous – on a continuum  Definitions:  Summary Table: shows values of the data categories for one variable and the frequencies (counts) or proportions/ percentages for each category  Contingency Table: shows values of the data categories for more than one variable and the frequencies or proportions/percentages for each of the joint responses  Each response counted/tallied into one and only one category/cell  Example (Problem 2.2, p. 40): The following data represent the responses to two questions asked in a survey of 40 college students majoring in

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