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| revprev | Admin | Jun 24'24 at 19:16 | −2 | ||
| revcurprev | Admin | Jun 14'24 at 17:32 | −223 | ||
| 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> Let <math>X</math> be the first time that a ''failure'' occurs in an infinite sequence of Bernoulli trials with probability <math>p</math> for success. Let <math>p_k = P(X = k)</math> for <math>k = 1</math>, 2, \dots. Show that <math>p_k = p^{k...") | Jun 9'24 at 3:23 | +671 |