Mathematics, 19.12.2019 19:31, crispingolfer1864

Let x unif[0; 1]. parts (a) and (b) below ask you to nd the nth moment of x in two di erent ways. (a) use the formula e(xn) = r 1 0 xn dx. (b) compute the moment generating function mx(t) (or use the result of exercise 5.3). find the taylor series expansion of mx(t) and identify the coecients. hint. mx(t) will be written in terms of et. substitute the taylor series for et into the formula and simplify the expression.

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Let x unif[0; 1]. parts (a) and (b) below ask you to nd the nth moment of x in two di erent ways. (...