Applet Exercise Refer to Exercise 4.113. Use the applet Comparison of Beta Density

Chapter 4, Problem 4.114

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Applet Exercise Refer to Exercise 4.113. Use the applet Comparison of Beta Density Functions to compare beta density functions with ( = 1, = 1), ( = 1, = 2), and ( = 2, = 1). a What have we previously called the beta distribution with ( = 1, = 1)? b Which of these beta densities is symmetric? c Which of these beta densities is skewed right? d Which of these beta densities is skewed left? *e In Chapter 6 we will see that if Y is beta distributed with parameters and , then Y = 1 Y has a beta distribution with parameters = and = . Does this explain the differences in the graphs of the beta densities?

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