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Suppose that net inflows to a reservoir are described by a standard Brownian motion. If at time 0 the reservoir hasx= 5.7 units of water,

  1. Suppose that net inflows to a reservoir are described by a standard Brownian motion. If at time 0 the reservoir hasx= 5.7 units of water, what is the probability that the reservoir never becomes empty in the firstt= 8 units of time.

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