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Unformatted text preview: integrating R âˆž (1(1ex ) n ) dx by parts. 4.2.7 E ( 1 X + 1 ) = âˆž X n =0 1 n + 1 eÎ» Î» n n ! = eÎ» Î»1 âˆž X n =0 Î» n +1 ( n + 1)! = eÎ» Î»1 ( e Î»1) 4.2.8 The generating function of X is r ( z ) = âˆž X n =1 z n (1p ) n1 p = pz 1z (1p ) . Then EX = r ( z ) = p (1z + zp )pz (1 + p ) (1z + zp ) 2  z =1 = 1 /p....
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 '08
 PROTSAK
 Math, Trigraph, Generating function, Pengsheng Ji, Cn,k pk

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