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P0106_Soln - P0106_Soln X N6 ~ 13 P2 X 2 1 < <0 Recall that...

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P0106_Soln.doc X ~ N 16 ,3 ( 29 P 12 < X < 20 ( 29 Recall that… X ~ N μ , σ ( 29 Z = X - μ σ Z ~ N 0 ,1 ( 29 Thus, P 12 < X < 20 ( 29 = P 12 - 16 3 < Z < 20 - 12 3 P 12 < X < 20 ( 29 = P - 1 .33 < Z < 1 .33 ( 29 Recall that… Pa < X < b ( 29 = PX < b ( 29 - PX < a ( 29 Thus, P 12 < X < 20 ( 29 = PZ < 1 .33 ( 29 - PZ <- 1 .33 ( 29 P 12 < X < 20 ( 29 1 .33 ( 29 -Φ- 1 .33 ( 29 P 12 < X < 20 ( 29
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