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Unformatted text preview: integrating R (1-(1-e-x ) n ) dx by parts. 4.2.7 E ( 1 X + 1 ) = X n =0 1 n + 1 e- n n ! = e- -1 X n =0 n +1 ( n + 1)! = e- -1 ( e -1) 4.2.8 The generating function of X is r ( z ) = X n =1 z n (1-p ) n-1 p = pz 1-z (1-p ) . Then EX = r ( z ) = p (1-z + zp )-pz (-1 + p ) (1-z + zp ) 2 | z =1 = 1 /p....
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This note was uploaded on 09/22/2010 for the course MATH 413 at Cornell University (Engineering School).