Let U1, U2, ... be i.i.d. and each uniform on [0, 1). For each positive integer n, let q„ be the 1 '1'1 (o 11

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Problem 4.
Let U1, U2, ... be i.i.d. and each uniform on [0, 1]. For each positive integer n, let q„ be the
probability that Ui + U2 + .+ Un – n/2] E [0, 1]. Find lim, »0 In-
Transcribed Image Text:Problem 4. Let U1, U2, ... be i.i.d. and each uniform on [0, 1]. For each positive integer n, let q„ be the probability that Ui + U2 + .+ Un – n/2] E [0, 1]. Find lim, »0 In-
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