HW13 - Homework 13 6.1.1 a) Bin(3,0.5) 0 1/8 0.40 0.35 0.30...

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Homework 13 6.1.1 a) Bin(3,0.5) 0 1 2 3 1/8 3/8 3/8 1/8 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0 1 2 3 b) Bin(3-x, 0.5) Y X=0 X=1 X=2 X=3 0 1/8 - - - 1 3/8 ¼ - - 2 3/8 ½ ½ - 3 1/8 ¼ ½ 1 X=0 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0 1 2 3 X = 1 0.00 0.10 0.20 0.30 0.40 0.50 0.60 0 1 2 3 X =2 0.00 0.10 0.20 0.30 0.40 0.50 0.60 0 1 2 3 X=3 0.00 0.20 0.40 0.60 0.80 1.00 1.20 0 1 2 3 c) Y X=0 X=1 X=2 X=3 0 1/64 - - - 1 3/64 6/64 - - 2 3/64 12/64 12/64 - 3 1/64 6/64 12/64 8/64 d) Y Prob 0 1/64 1 9/64 2 27/64 3 27/64
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0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0 1 2 3 e) Y X=0 X=1 X=2 X=3 0 1 - - - 1 1/3 2/3 - - 2 3/27 12/27 12/27 - 3 1/27 6/27 12/27 8/27 Y=0 0 0.2 0.4 0.6 0.8 1 1.2 0 1 2 3 Y =1 0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0 1 2 3 Y =2 0 0. 1 0. 2 0. 3 0. 4 0. 5 3 0 0.05 0. 1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0 1 2 3 f) Y Best guess for x (=highest probability) 0 0 1 1 2 1 or 2 3 2 g) Y Probability of being correct 0 1*1/64 1 2/3*9/64 2 12/27*27/64 3 12/27*27/64
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Sum of all the rows=31/64= 0.484375 6.1.2 T G 0 1 2 3 4 Distribution
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This note was uploaded on 09/14/2009 for the course STAT 134 taught by Professor Aldous during the Fall '03 term at University of California, Berkeley.

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HW13 - Homework 13 6.1.1 a) Bin(3,0.5) 0 1/8 0.40 0.35 0.30...

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