55010Solution1 - STAT 550 Homework 1 Solution 1) 1.1-1 (a)...

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Unformatted text preview: STAT 550 Homework 1 Solution 1) 1.1-1 (a) Let R denotes red, B denotes blue, and Y denotes yellow; S = { RB , RY , BR , BY , YR , (YB)} (b) Let A=exactly one marble is red A = RB , RY , BR , YR There are four sample points. (c) S = RR , RB , RY , BB , BR , BY , YY , YR , YB A = RB , RY , BR , YR There are four sample points. 2) 1.1-2 (a) S = { 0,0 , 0,1 , 0,2 , 0,3 , 1,0 , 1,1 , 1,2 , 1,3 , 2,0 , 2,1 , 2,2 , 2,3 , 3,0 , 3,1 , 3,2 , 3,3 } (b) S = { 0,0 , 1,1 , 2,2 , 3,3 } (c) S = { 0,3 , 1,2 , 1,3 , 2,1 , 2,2 , 2,3 , 3,0 , 3,1 , 3,2 , 3,3 } 3) 1.1-3 (a) S = { 1,2,3 , 1,3,2 , 2,1,3 , 2,3,1 , 3,1,2 , (3,2,1)} (b) Each brand will be ranked best in 2 sample points. For example, First brand is the best={(1,2,3),(1,3,2)} 4) 1.1-6 S = { 1,1 , 1,2 , 1,3 , 1,4 , 1,5 , 1,6 , 2,1...
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55010Solution1 - STAT 550 Homework 1 Solution 1) 1.1-1 (a)...

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