Question: 25. If X is a beta random variable with parameters a and b show that $$E[X] = frac{a}{a + b}$$ $$Var(X) = frac{ab}{(a + b)^2(a

25. If X is a beta random variable with parameters a and b show that

$$E[X] = \frac{a}{a + b}$$

$$Var(X) = \frac{ab}{(a + b)^2(a + b + 1)}$$

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