Let X have a beta distribution with parameters and . (See Example 5.2-3.) (a) Show that
Chapter 5, Problem 5.2-8(choose chapter or problem)
Let X have a beta distribution with parameters and . (See Example 5.2-3.) (a) Show that the mean and variance of X are, respectively, = + and 2 = ( + + 1)( + )2 . (b) Show that when > 1 and > 1, the mode is at x = ( 1)/( + 2).
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