Solved: Applet Exercise Use the applet Comparison of Gamma

Chapter 4, Problem 85E

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QUESTION:

Problem 85E

Applet Exercise Use the applet Comparison of Gamma Density Functions to compare gamma density functions with = 1, β = 1), = 1, β = 2), and = 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 = 1, β = 1), = 1, β = 2), and = 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.

 

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