Roll n fair dice problem - please help

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Yan

May 2008
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Roll n fair dice, and let Xn be the maximum number that is rolled.
(a) [12pts] Compute E[Xn] as a function of n.
(b) [4pts] What is lim(n-> inf) E[Xn]?

I'm really confuse about this problem. Please help me figure out. Thanks!!!
 

mr fantastic

MHF Hall of Fame
Dec 2007
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Roll n fair dice, and let Xn be the maximum number that is rolled.
(a) [12pts] Compute E[Xn] as a function of n.
(b) [4pts] What is lim(n-> inf) E[Xn]?

I'm really confuse about this problem. Please help me figure out. Thanks!!!
The fact that these questions are worth pts suggests that they are part of an assignment that counts towards your final grade. Plese read rule #6 here: http://www.mathhelpforum.com/math-help/f8/list-rules-used-moderate-mhf-please-read-carefully-151429.html
 
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