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1. Let B be a standard Brownian motion starting from zero, be a number in [0, 1] and II = {to, t,..., tn} be

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1. Let B be a standard Brownian motion starting from zero, be a number in [0, 1] and II = {to, t,..., tn} be a partition of [0,t] with 0 = to Calculus Module 4-Integrals and Derivatives with th Use the Fundamental Theorem of Calculus with two variable limits of integration Question If F(x) = L sin (2+3) dt, what is F'(x)? (Do not include "F'(x) =" in your answer.) Provide your answer below: Let B, to a Standard Brownian Motion Show that the conditional distribution of the variable Bt, with te Co), given the Bo O and B=0 is 2 fcx) x 2t (1-t) 2t (1-+) A -84X4 j

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