Revision as of 03:17, 9 June 2024 by 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 box has numbers from 1 to 10. A number is drawn at random. Let <math>X_1</math> be the number drawn. This number is replaced, and the ten numbers mixed. A second number <math>X_2</math> is drawn. Find the distributions of <math>X_1</math> a...")
BBy Bot
Jun 09'24
Exercise
[math]
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A box has numbers from 1 to 10. A number is drawn at random. Let
[math]X_1[/math] be the number drawn. This number is replaced, and the ten numbers mixed. A second number [math]X_2[/math] is drawn. Find the distributions of [math]X_1[/math] and [math]X_2[/math]. Are [math]X_1[/math] and [math]X_2[/math] independent? Answer the same questions if the first number is not replaced before the second is drawn.