If n > 2 is an integer, the distribution with density given by f (y) = 1 B(1/2, [n 2]/2)

Chapter 4, Problem 4.189

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If n > 2 is an integer, the distribution with density given by f (y) = 1 B(1/2, [n 2]/2) (1 y2 ) (n4)/2 , 1 y 1, 0, elsewhere. is called the r distribution. Derive the mean and variance of a random variable with the r distribution.

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