FM5002-HW8-3.28.12

5 t 1 1 if 0 t 03 and y t 0 if 03 t 1 p x 1 an d y 2

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Unformatted text preview: if 0 t 0.3 and Y t 0 if 0.3 t 1 P X 1 an d Y 2 0.3 PX 1 0.3 Y2 P X 1 an d Y 2 0.3 PY 2 0.5 0.6. 1. 0047 3. Let C1, C2, C3, ... be our stan dard sequence of coin flippin g PCRVs. For all integers n 1, let D n C1 ... Cn n a. Compute lim E D6 . n n b. Compute lim E 80 e 4 Dn 3 n a. Recall that 1 2Π x2 n e e . x2 2 x 2n 1 . By the Central Limit Theorem, lim E D6 n n 1 2Π x6 e x2 2 x 15. . 2 FM5002−HW8−3.28.12.nb b. Again, by the Central Limit Theorem, lim E 80 e 4 Dn 3 n 80 e4 x 2Π 3 x2 ee 2 x 80 e 1 e4 x 3 x2 e e x 2 2Π 3 2Π 80 e x2 e4 x e x 2 80 e 1 2Π x2 e 2 x 80 e 5 3 e 1. 1 0047− . Let X an d Ybe PCRVs such that Pr[X = 4] = 0.8, Pr[(X...
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This note was uploaded on 01/19/2014 for the course MATH 5002 taught by Professor Adams during the Spring '08 term at Minnesota.

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