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05 2. A random variable X follows Beta(2,3) distribution. (a) Show that the cumulative distribution function F of a Beta(2, 3) random variable is 05

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05 2. A random variable X follows Beta(2,3) distribution. (a) Show that the cumulative distribution function F of a Beta(2, 3) random variable is 05 F(x) = 6x2 8x + 3x^, [0, 1]. (b) Find the sampling distribution (pdf) of the median for a random sample of size n = 2m + 1 from Beta(2,3)

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