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Example 7.36. Let {Xx be mutually indepenaent, each assuming the values 0, 1, 2.3 ..., a - 1 with probability Let S, = X1 + X2 + ... + Xp. Show that the probability generatine %3D function of S, is : P (s) = {; 1- sa %3D a(1 – s)] and hence P (S, = 1) =E (-1)"*ijsav (") (;="u) - av v=0

Example 7.36. Let {Xx be mutually indepenaent, each assuming the values 0, 1, 2.3 ..., a - 1 with probability Let S, = X1 + X2 + ... + Xp. Show that the probability generatine %3D function of S, is : P (s) = {; 1- sa %3D a(1 – s)] and hence P (S, = 1) =E (-1)"*ijsav (") (;="u) - av v=0

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Example 7-36. Let {Xx} be mutually independent, each assuming the values 0.12 . ..., a - 1 with probability . Let S, = X1 + X2 + ... + Xp. Show that the probability generatino (6) = {; P (s) : 1- sa a(1 – s) function of S, is : P (S„ = j) = £ (-1)"*j*av (4)(;=u) and hence %3D - av v=0
Transcribed Image Text:Example 7-36. Let {Xx} be mutually independent, each assuming the values 0.12 . ..., a - 1 with probability . Let S, = X1 + X2 + ... + Xp. Show that the probability generatino (6) = {; P (s) : 1- sa a(1 – s) function of S, is : P (S„ = j) = £ (-1)"*j*av (4)(;=u) and hence %3D - av v=0
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