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Solved: Applet Exercise Use the applet Comparison of Beta
Chapter 4, Problem 116E(choose chapter or problem)
Problem 116E
Applet Exercise Use the applet Comparison of Beta Density Functions to compare beta density functions with (α = 1.5, β = 7), (α = 2.5, β = 7), and (α = 3.5, β = 7).
a Are these densities symmetric? Skewed left? Skewed right?
b What do you observe as the value of α gets closer to 7?
c Graph some more beta densities with α > 1, β > 1, and α < β. What do you conjecture about the shape of beta densities when both α > 1, β >1, and α < β?
Questions & Answers
QUESTION:
Problem 116E
Applet Exercise Use the applet Comparison of Beta Density Functions to compare beta density functions with (α = 1.5, β = 7), (α = 2.5, β = 7), and (α = 3.5, β = 7).
a Are these densities symmetric? Skewed left? Skewed right?
b What do you observe as the value of α gets closer to 7?
c Graph some more beta densities with α > 1, β > 1, and α < β. What do you conjecture about the shape of beta densities when both α > 1, β >1, and α < β?
ANSWER:
Solution:
Step 1 of 4:
We use the applet comparison of beta density functions to get the Beta density curves for
and