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 F(x) = 6x? 823 + 3x4, r € [0, 1]. (b) Find the sampling...


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2. A random variable X follows Beta(2,3) distribution.<br>(a) Show that the cumulative distribution function F of a Beta(2,3) random variable is<br>F(x) = 6x?<br>823 + 3x4, r € [0, 1].<br>(b) Find the sampling distribution (pdf) of the median for a random sample of size n =<br>2m +1 from Beta(2,3).<br>

Extracted text: 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 F(x) = 6x? 823 + 3x4, r € [0, 1]. (b) Find the sampling distribution (pdf) of the median for a random sample of size n = 2m +1 from Beta(2,3).

Jun 07, 2022
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