Solution Found!
Answer: Applet Exercise Use the applet Comparison of Beta
Chapter 4, Problem 115E(choose chapter or problem)
Problem 115E
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?
Questions & Answers
QUESTION:
Problem 115E
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?
ANSWER:
Solution:
Step 1 of 6:
We use the applet comparison of beta density functions to get the Beta density curves for
