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Use the information from the
Binomial Distribution Practice shown below.
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 select freshman from the study until you find one who replies “yes.” You are interested in the number of freshmen you must ask.
In words, define the Random Variable .
~
G(0.713)
What values does the random variable take on?
1,2,…
Construct the probability distribution function (PDF). Stop at .
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On average( ), how many freshmen would you expect to have to ask until you found one who replies "yes?"
1.4
What is the probability that you will need to ask fewer than 3 freshmen?
0.9176
Construct a histogram or plot a line graph. Label the horizontal and vertical axes with words. Include numerical scaling.
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