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T~ 2 ˘Geom(1=m) be the time to get the remaining chunk The second random variable is geometric by the memoryless property of the geometric distribution Our total time to collect the rst two movies is T~ = T~ 1 T~ 2 so by linearity of expectation and the mean of a geometric random variable, ET~ = ET~ 1 ET~ 2 = m=2 m = 3=2 m (c)(. W è $ p x ;. BdYih Wqhr Xdgefd^XZcq la^`db ^a^ mVgh^mcd X aäWdb X^Z W e^grbccdYd fVfnc^å VXhdfV Dave Roberson Ministries The Family Prayer Center PO Box 725 Tulsa, OK wwwdaverobersonorg В˛ ˜ (# dgaZc^ cg`dar`d ah Wqa^ gVbqb VbmVhar cqb Xfbcb X bd_ \^c^ >dh i\ Wdarn ZXVZlVh^.

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