Question: 8. [10 points] A discrete-time accumulator is initialized to zero (So = 0) and is updated according to Sn = Sn-1+ Xn for n =

8. [10 points] A discrete-time accumulator is initialized to zero (So

8. [10 points] A discrete-time accumulator is initialized to zero (So = 0) and is updated according to Sn = Sn-1+ Xn for n = 1, 2, ... Suppose the input is pure noise, consisting of independent observations of a uniform random variable. Specifically, for each n, suppose Xn ~Uniform 2'2 and that Xn is independent of all other Xm for m # n. After 1200 time steps, what is the approximate probability that the accumulator value falls outside the range [-5, 5]? That is, find the approximate probability: P(| S1200| > 5)

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