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8.4 Let X denote a standard (one-dimensional) Brownian motion. Find the following probabilities. Give your answers as rational numbers or decimals to at least three places. 196 Introduction to Stochastic Processes (a) X2 > 2 (b) Х2 > X1 (c) X2 > X1 > X3 (d) Xị = 0 for some t with 2 < t < 3 (e) Xt < 4 for all t with 0 0 for all t > 10.

8.4 Let X denote a standard (one-dimensional) Brownian motion. Find the following probabilities. Give your answers as rational numbers or decimals to at least three places. 196 Introduction to Stochastic Processes (a) X2 > 2 (b) Х2 > X1 (c) X2 > X1 > X3 (d) Xị = 0 for some t with 2 < t < 3 (e) Xt < 4 for all t with 0 0 for all t > 10.

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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8.4 Let X; denote a standard (one-dimensional) Brownian motion. Find the following probabilities. Give your answers as rational numbers or decimals to at least three places. 196 Introduction to Stochastic Processes (а) Х2 > 2 (b) Х2 > Х1 (c) X2 > X1 > X3 (d) X = 0 for some t with 2 <t < 3 (e) Xt < 4 for all t with 0 <t < 3 (f) Xt > 0 for all t > 10.
Transcribed Image Text:8.4 Let X; denote a standard (one-dimensional) Brownian motion. Find the following probabilities. Give your answers as rational numbers or decimals to at least three places. 196 Introduction to Stochastic Processes (а) Х2 > 2 (b) Х2 > Х1 (c) X2 > X1 > X3 (d) X = 0 for some t with 2 <t < 3 (e) Xt < 4 for all t with 0 <t < 3 (f) Xt > 0 for all t > 10.
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