A box contains four balls, numbered 1 through 4. One ball is selected at random from this box. LetX1 = 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%3DThe 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.

independent if p(x1 and x2 and x3)=p(x1).p(x2).p(x3)

Answered: X3 = 1 ir ball 1 UI UdII I3 UTUWII.…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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X3 = 1 ir ball 1 UI UdII I3 UTUWII. Uall 4 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.