# TOM302 HW ch8 - TOM302 CH8 8.44(a =0(0.2 1(0.1 2(0.3...

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TOM302 CH8 8.44 (a) μ=0(0.2)+1(0.1)+2(0.3)+3(0.4)= 1.9 δ 2 =(0-1.9) 2 (0.2)+(1-1.9) 2 (0.1)+(2-1.9) 2 (0.3)+(3-1.9) 2 (0.4)= 1.29 δ= 1.136 (b) and (c) Sample Mean of the sample Prob. of selecting this sample 0, 0 (0+0)/2=0 1/16 0, 1 (0+1)/2=0.5 1/16 0, 2 (0+2)/2=1.0 1/16 0, 3 (0+3)/2=1.5 1/16 1, 0 (1+0)/2=0.5 1/16 1, 1 (1+1)/2=1.0 1/16 1, 2 (1+2)/2=1.5 1/16 1, 3 (1+3)/2=2.0 1/16 2, 0 (2+0)/2=1.0 1/16 2, 1 (2+1)/2=1.5 1/16 2, 2 (2+2)/2=2.0 1/16 2, 3 (2+3)/2=2.5 1/16 3, 0 (3+0)/2=1.5 1/16 3, 1 (3+1)/2=2.0 1/16 3, 2 (3+2)/2=2.5 1/16 3, 3 (3+3)/2=3.0 1/16 (d) Mean of the sample 0 0.5 1.0 1.5 2.0 2.5 3.0 P(X) 1/16 2/16 3/16 4/16 3/16
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