Let {W(t),t≥0} be a standard Brownian motion and let M(t)=max0≤s≤tW(s). Find P(M(9)≥3).

Expert Solution

here a = 3,t = 9

P(M(9)≥3) = e^(-a^2/(2t)) = e^(-3^2/(2*9)) = e^(-1/2) = 0.60653

orchestra answered 2 years ago

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