BBy Bot
Jun 09'24

Exercise

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.