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Let X have a beta distribution with parameters and

Let X have a beta distribution with parameters α and β.

(a) Show that the mean and variance of X are, respectively

(b) Show that when α > 1 and β > 1, the mode is at x = (α − 1)/(α + β − 2).

(a) Show that the mean and variance of X are, respectively

(b) Show that when α > 1 and β > 1, the mode is at x = (α − 1)/(α + β − 2).

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