9.5 Let Yt 5 t 0 Budu, where fBt; t $ 0g is the standard Brownian motion.

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9.5 Let YðtÞ 5 Ðt 0 BðuÞdu, where fBðtÞ; t $ 0g is the standard Brownian motion. Find

a. E½YðtÞ

b. E½Y2ðtÞ

c. The conditional distribution of YðtÞ, given that BðtÞ 5 x.

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