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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Applet Exercise Use the applet Comparison of Beta Density Functions to compare beta density functions with (α = 2, β = 2), (α = 3, β = 3), and (α = 9, β = 9).
a What are the means associated with random variables with each of these beta distributions?
b What is similar about these densities?
c How do these densities differ? In particular, what do you observe about the “spread” of these three density functions?
d Calculate the standard deviations associated with random variables with each of these beta densities. Do the values of these standard deviations explain what you observed in part (c)? Explain.
e Graph some more beta densities with α = β. What do you conjecture about the shape of beta densities with α = β?
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