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Solved: Applet Exercise Use the applet Comparison of Gamma
Chapter 4, Problem 85E(choose chapter or problem)
Problem 85E
Applet Exercise Use the applet Comparison of Gamma Density Functions to compare gamma density functions with (α = 1, β = 1), (α = 1, β = 2), and (α = 1, β = 4).
a What is another name for the density functions that you observed?
b Do these densities have the same general shape?
c The parameter β is a “scale” parameter. What do you observe about the “spread” of these three density functions?
Questions & Answers
QUESTION:
Problem 85E
Applet Exercise Use the applet Comparison of Gamma Density Functions to compare gamma density functions with (α = 1, β = 1), (α = 1, β = 2), and (α = 1, β = 4).
a What is another name for the density functions that you observed?
b Do these densities have the same general shape?
c The parameter β is a “scale” parameter. What do you observe about the “spread” of these three density functions?
ANSWER:
a
Another name for gamma density function for shape parameter, α = 1 is exponential density function.