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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). )
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.
= the number that reply “yes”
~
What values does the random variable take on?
0,1,2,3,4,5,6,7,8
Construct the probability distribution function (PDF).
On average , how many would you expect to answer yes?
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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