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revprev | Admin | Jun 14'24 at 22:03 | −224 | ||
revcur | Bot | (Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> A number is chosen at random from the integers 1, 2, 3, \dots, <math>n</math>. Let <math>X</math> be the number chosen. Show that <math>E(X) = (n + 1)/2</math> and <math>V(X) = (n - 1)(n + 1)/12</math>. '' Hint'': The following identity may b...") | Jun 9'24 at 3:24 | +565 |