Assignment_1_Solutions

Assignment_1_Solutio - STAT 330 Assignment 1 Solutions Question 1 S= 123 124 125 213 214 15 23 24 25 3 4 5 Question 2 Let W denote the even that

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1 STAT 330 Assignment 1 Solutions Question 1. S= 123 124 125 213 214 215 13 14 15 23 24 25 3 4 5 Question 2: Let W denote the even that the first ball is white and B denote the event that the second ball is black. Then ) ( ) | ( ) ( ) | ( ) ( ) | ( ) | ( W P W B P W P W B P W P W B P B W P + = = ( ) ( ) ( ) m n m k m n k m m n n k m n m m n n k m n m + + + + + + + + + + + = k m n n + + Question 3: We are given that ) ( ) ( B P AB P = and must show that this implies that ) ( ) ( c c c A P A B P = . One way is as follows ) ( ) ( ) ( 1 ) ( 1 ) ) (( ) ( AB P B P A P B A P B A P A B P c c c + = = = ) ( ) ( 1 c A P A P = =
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2 Question 4: a. Since 1 ) ( 0 = = i i p , we have that 1 ! 0 = = i i i c θ implying, because = = 0 ! i i x i x e , that 1 = ce or . = e c b. = = = e e X P ! 0 / ) 0 ( 0 c. . 2 1 ) 2 ( ) 1 ( ) 0 ( 1 ) 2 ( 1 ) 2 ( 2 = = = = = = > e e e X P X P X P X P X P
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This note was uploaded on 07/12/2010 for the course STAT 330 taught by Professor Paulasmith during the Winter '08 term at Waterloo.

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Assignment_1_Solutio - STAT 330 Assignment 1 Solutions Question 1 S= 123 124 125 213 214 15 23 24 25 3 4 5 Question 2 Let W denote the even that

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