J (2) 0, oth Find the mean and variance of X.

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20. A random variable X is said to have a beta distribution and is denoted as X
Beta(a, B) if
X has the pdf
T(a+B) „a-1(1 – x)²-1, for 0 < I < 1;
f(r) = < r(a)r(B)
otherwise.
Find the mean and variance of X.
Transcribed Image Text:20. A random variable X is said to have a beta distribution and is denoted as X Beta(a, B) if X has the pdf T(a+B) „a-1(1 – x)²-1, for 0 < I < 1; f(r) = < r(a)r(B) otherwise. Find the mean and variance of X.
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