Show that for the simple random walk starting at zero,P(first visit to S^(2n) occurs at t = 2k) = P(S_(2k) = 0) · P(S_(2n−2k) = 0)for 0 ≤ k ≤ n.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
icon
Related questions
Topic Video
Question

Show that for the simple random walk starting at zero,
P(first visit to S^(2n) occurs at t = 2k) = P(S_(2k) = 0) · P(S_(2n−2k) = 0)
for 0 ≤ k ≤ n.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage