Solution: Competency 206.4.1: Understanding and Using Probability - #80120

Assignment 2

Competency 206.4.1: Understanding and Using Probability and Statistics - The graduate understands and uses elementary probability and statistics and knows the relationship between them and sampling and inference.

Objective 206.4.1-12: Explain the Law of Large Numbers.

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Task:

Write a brief essay (suggested length of 2 pages) in which you:

A. Define the Law of Large Numbers, citing a credible source.

B. Explain the Law of Large Numbers in your own words using a coin toss as an example.

C. Apply the Law of Large Numbers

1. Using a coin toss and fictitious data, explain how the following scenario is possible: As the number of trials increases, the differences between the number of actual and expected successes tends to grow, but the difference between the percentage of actual and expected successes tends to decrease.

2. Explain your answer to the following question: Is it true that if I flip a coin 1,000 times I will get heads 500 times?

3. Explain your answer to the following question: Is it true that if I get tails 3 times in a row that my chances of getting heads on my next toss is greater than 50%?

Note: To expedite the grading process, if you choose to submit the work as an attachment, please save the word processing file as an *.rtf (Rich Text File).

Note: For definitions of terms commonly used in the rubric, see the attached Rubric Terms.

Note: When using outside sources to support ideas and elements in a paper or project, the submission MUST include APA formatted in-text citations with a corresponding reference list for any direct quotes or paraphrasing. It is not necessary to list sources that were consulted if they have not been quoted or paraphrased in the text of the paper or project.

Note: No more than a combined total of 30% of a submission can be directly quoted or closely paraphrased from outside sources, even if cited correctly. Here are some helpful APA resources:

http://www.apastyle.org

http://www.citationmachine.net

http://owl.english.purdue.edu/owl/resource/560/01

REFERENCES:

References for this assignment are suggested materials only. You are NOT required to purchase them.

Bluman, A. G. (2007). Elementary statistics: A step by step approach (6th ed.). New York: McGraw-Hill.

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