2.1. Let {B(t); t ? 0} be a standard Brownian motion, with B(0) = 0, and let...

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2.1. Let {B(t); t ? 0} be a standard Brownian motion, with B(0) = 0, and let M(t) = max{B(u); 0 s u < t}.

(a) Evaluate Pr(M(4) <_ 2).

(b) Find the number c for which Pr{M(9) > c} = 0.10.

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An Introduction To Stochastic Modeling

ISBN: 9780126848878

3rd Edition

Authors: Samuel Karlin, Howard M. Taylor

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