A box contains four balls, numbered 1 through 4. One ball is selected at random from this box. Let X1 = 1 if ball 1 or ball 2 is drawn, X2 = 1 if ball1 or ball 3 is drawn, X3 = 1 if ball 1 or ball 4...

A box contains four balls, numbered 1 through 4. One ball is selected at random from this box. Let<br>X1 = 1 if ball 1 or ball 2 is drawn,<br>X2 = 1 if ball1 or ball 3 is drawn,<br>X3 = 1 if ball 1 or ball 4 is drawn.<br>%3D<br>%3D<br>%3D<br>The X; values are zero otherwise. Show that any two of the random variables X1, X2, and X3 are inde-<br>pendent but that the three together are not.<br>

Extracted text: A box contains four balls, numbered 1 through 4. One ball is selected at random from this box. Let X1 = 1 if ball 1 or ball 2 is drawn, X2 = 1 if ball1 or ball 3 is drawn, X3 = 1 if ball 1 or ball 4 is drawn. %3D %3D %3D The X; values are zero otherwise. Show that any two of the random variables X1, X2, and X3 are inde- pendent but that the three together are not.

Jun 04, 2022

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A box contains four balls, numbered 1 through 4. One ball is selected at random from this box. Let X1 = 1 if ball 1 or ball 2 is drawn, X2 = 1 if ball1 or ball 3 is drawn, X3 = 1 if ball 1 or ball 4...

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