- The student will construct the Binomial Distribution.
Inside Collection (Textbook): Collaborative Statistics (with edits: Teegarden)
Summary: This module provides a practice of Binomial Distribution as a part of Collaborative Statistics collection (col10522) by Barbara Illowsky and Susan Dean.
The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 71.3% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status.
(Source: http://heri.ucla.edu/PDFs/pubs/TFS/Norms/Monographs/TheAmericanFreshman2011.pdf).
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Suppose that you randomly pick 8 first-time, full-time freshmen from the survey. You are interested in the number that believes that same sex-couples should have the right to legal marital status
In words, define the random Variable X.
What values does the random variable
0,1,2,3,4,5,6,7,8
Construct the probability distribution function (PDF).
On average
5.7
What is the standard deviation
1.28
What is the probability that at most 5 of the freshmen reply “yes”?
0.4151
What is the probability that at least 2 of the freshmen reply “yes”?
0.9990
Construct a histogram or plot a line graph. Label the horizontal and vertical axes with words. Include numerical scaling.
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