題組內容
4. (20 %) Let $X_1, X_2, \ldots, X_n$ be a random sample from a population with p.d.f. $$f(x) = cx(1 - x), \quad 0 < x < 1$$
(b) Find the moment generating function of \( X_{i}, i = 1,2,\ldots,n \).
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4. (20 %) Let $X_1, X_2, \ldots, X_n$ be a random sample from a population with p.d.f. $$f(x) = cx(1 - x), \quad 0 < x < 1$$
(b) Find the moment generating function of \( X_{i}, i = 1,2,\ldots,n \).