Question
For i= 1,2, let Ni be the number of trials needed for outcome ito occur, and put N:= N1 N2 . (a) Show that Nis
For i= 1,2, let Ni be the number of trials needed for outcome ito occur, and
put N:= N1 N2 .
(a) Show that Nis independent of 1{N1 (b) Evaluate E[N1 | N1 < N2 ]. (c) Roll a pair of dice until a total of 6 or 7 appears. Given that 6 appears before 7, what is the (conditional) expected number of rolls?
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Topological Methods In Group Theory
Authors: Ross Geoghegan
1st Edition
1441925643, 978-1441925640
