6. Reflection Principle Use the reflection principle to find the number of paths for a simple random walk from So = 2 to S 5 that do not hit the line y = 6. S⑬= # of paths ③- in 15 moves of paths 2-75 in 15 moves but =2002 "bist =6 f R.P. 15 moves : 160 12 moves balancing. 61 15 =3003 1=5005 g R.P: If the RW reaches level y = 6 for the 1st time at step k, then # # any m>k and D = 7 for any m > (n = 6 • of patties that reach L in in ⑦deps (k->m) H - steps (k -> m) * of paths that reach of - (L-g)= 2y=] in mak 11 2.6 7-5 5 2 # of pathe 2->5 in 15 steps that reach y=6 +5 → # of parties 2 + 0 in 15 stops 50 10 moves (X;) +5 450 85 +1 -1 A 50 10 moves U .50 +1.5 50 شهشه U v 15 4. Reflection Principle Use the reflection principle to find the number of paths for a simple random walk from So = 2 to S10 6 that hit the line y = 1 =
6. Reflection Principle Use the reflection principle to find the number of paths for a simple random walk from So = 2 to S 5 that do not hit the line y = 6. S⑬= # of paths ③- in 15 moves of paths 2-75 in 15 moves but =2002 "bist =6 f R.P. 15 moves : 160 12 moves balancing. 61 15 =3003 1=5005 g R.P: If the RW reaches level y = 6 for the 1st time at step k, then # # any m>k and D = 7 for any m > (n = 6 • of patties that reach L in in ⑦deps (k->m) H - steps (k -> m) * of paths that reach of - (L-g)= 2y=] in mak 11 2.6 7-5 5 2 # of pathe 2->5 in 15 steps that reach y=6 +5 → # of parties 2 + 0 in 15 stops 50 10 moves (X;) +5 450 85 +1 -1 A 50 10 moves U .50 +1.5 50 شهشه U v 15 4. Reflection Principle Use the reflection principle to find the number of paths for a simple random walk from So = 2 to S10 6 that hit the line y = 1 =
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
solve the question like the exmple ( it has different numbers )
![6. Reflection Principle
Use the reflection principle to find the number of paths for a simple random walk from So = 2
to S 5 that do not hit the line y = 6.
S⑬=
# of paths ③- in 15 moves
of paths
2-75 in 15 moves but
=2002
"bist
=6
f
R.P.
15 moves :
160
12 moves
balancing.
61
15
=3003
1=5005
g
R.P: If the RW reaches level y = 6 for the 1st time at step k, then
#
#
any m>k and D = 7
for any
m
>
(n = 6
• of patties that reach L in in ⑦deps (k->m)
H
- steps
(k -> m)
* of paths that reach of - (L-g)= 2y=] in mak
11
2.6
7-5
5
2
# of pathe
2->5 in 15 steps that
reach y=6
+5
→
# of parties 2 + 0 in 15 stops
50
10 moves
(X;)
+5
450
85
+1
-1 A
50
10 moves
U
.50 +1.5
50
شهشه
U
v
15](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe4f043a-40ec-446c-a7ff-f52648c59722%2F2922f73e-f433-46a1-8641-b287f88523f9%2Fcu9cv7_processed.png&w=3840&q=75)
Transcribed Image Text:6. Reflection Principle
Use the reflection principle to find the number of paths for a simple random walk from So = 2
to S 5 that do not hit the line y = 6.
S⑬=
# of paths ③- in 15 moves
of paths
2-75 in 15 moves but
=2002
"bist
=6
f
R.P.
15 moves :
160
12 moves
balancing.
61
15
=3003
1=5005
g
R.P: If the RW reaches level y = 6 for the 1st time at step k, then
#
#
any m>k and D = 7
for any
m
>
(n = 6
• of patties that reach L in in ⑦deps (k->m)
H
- steps
(k -> m)
* of paths that reach of - (L-g)= 2y=] in mak
11
2.6
7-5
5
2
# of pathe
2->5 in 15 steps that
reach y=6
+5
→
# of parties 2 + 0 in 15 stops
50
10 moves
(X;)
+5
450
85
+1
-1 A
50
10 moves
U
.50 +1.5
50
شهشه
U
v
15
Transcribed Image Text:4.
Reflection Principle
Use the reflection principle to find the number of paths for a simple random walk from So = 2
to S10 6 that hit the line y = 1
=
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman