Execise. (i) Let RW, = {(so, $1,..., Sn) : so = 0, |Si+1 – s;l = 1,i = 0, 1,...,n – 1} %3D be the set of all possible paths of a simple random walk of length n. Show that #RW, = 2", or the number of...

Execise.<br>(i) Let<br>RW, = {(so, $1,..., Sn) : so = 0, |Si+1 – s;l = 1,i = 0, 1,...,n – 1}<br>%3D<br>be the set of all possible paths of a simple random walk of length n. Show that<br>#RW, = 2

Extracted text: Execise. (i) Let RW, = {(so, $1,..., Sn) : so = 0, |Si+1 – s;l = 1,i = 0, 1,...,n – 1} %3D be the set of all possible paths of a simple random walk of length n. Show that #RW, = 2", or the number of paths in RW, is 2". (ii) Let D, = {($o, S1,..., Sn) € RW, : Sn = 0}. %3D Calculate the number of paths in Dn?

Jun 03, 2022

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Execise. (i) Let RW, = {(so, $1,..., Sn) : so = 0, |Si+1 – s;l = 1,i = 0, 1,...,n – 1} %3D be the set of all possible paths of a simple random walk of length n. Show that #RW, = 2", or the number of...

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