urgent help Con sider a fandom walk on theIntegers. That is, let there be aPlayer A who wins $1 each time aVandom Coin Comes up head and loses$1 each time it Comes up tail, AStarts with o dlollers. Assume that theCoin tosses arre in depen dent and that eachtimi head Occurs with Pro bability P,with Y2 Wa is the nember of steps until A has $1.fortime.We is the neumber of Steps until A bes $2 for thefirst time.Wg is the nember of steps Until A has $ 3 forthe fint timt.Xx = Wy-WtXg= Wg -WzSinceProb(U,{W = i}) =1 we reatriet theSample space to Consist of finite Seguence ofCoin tosses, Assume that the Sample Space Consistsg this Countably finite set.A) Which three of these Pamdom Variablos are lutully IndygandatBFO each Pair of Random Variables that arenot indepen dent, Show that they are ust IndepententC) Give the expected Value of each of these romdomVarlables ·DLWas it important for your answer that½ ?p<1? what thappem if P=I?

Name: urgent help Con sider a fandom walk on theIntegers. That is, let there
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Description: urgent help Con sider a fandom walk on theIntegers. That is, let there be aPlayer A who wins $1 each time aVandom Coin Comes up head and loses$1 each time it Comes up tail, AStarts with o dlollers. Assume that theCoin tosses arre in depen dent and th

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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urgent help

Con sider a fandom walk on the
Integers. That is, let there be a
Player A who wins $1 each time a
Vandom Coin Comes up head and loses
$1 each time it Comes up tail, A
Starts with o dlollers. Assume that the
Coin tosses arre in depen dent and that each
timi head Occurs with Pro bability P,
with Y2 <P< 1. Consider the following
random Variables :

Wa is the nember of steps until A has $1.for
time.
We is the neumber of Steps until A bes $2 for the
first time.
Wg is the nember of steps Until A has $ 3 for
the fint timt.
Xx = Wy-Wt
Xg= Wg -Wz
Since
Prob(U,{W = i}) =1 we reatriet the
Sample space to Consist of finite Seguence of
Coin tosses, Assume that the Sample Space Consists
g this Countably finite set.
A) Which three of these Pamdom Variablos are lutully Indygandat
BFO each Pair of Random Variables that are
not indepen dent, Show that they are ust Indepentent
C) Give the expected Value of each of these romdom
Varlables ·
DLWas it important for your answer that
½ ?p<1? what thappem if P=I?

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