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Solution to HW 4

# Solution to HW 4 - 35 30 36 Y if y if y if y if y if y if y...

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Solution to HW #4 2. The sample space of X is {2,3,4,5,6,7,8,9,10,11,12} 1 2 36 1 3 18 1 4 12 1 5 9 5 6 36 1 ( ) 7 6 5 8 36 1 9 9 1 10 12 1 11 18 1 12 36 X if x if x if x if x if x P x if x if x if x if x if x if x = = = = = = = = = = = = 0 2 1 2 3 36 1 3 4 12 1 4 5 6 5 5 6 18 5 6 7 12 ( ) 7 7 8 12 13 8 9 18 5 9 10 6 11 10 11 12 35 11 12 36 1 12 X if x if x if x if x if x if x F x if x if x if x if x if x if x < ≤ < ≤ < ≤ < ≤ < ≤ < = ≤ < ≤ < ≤ < ≤ < ≤ < >=

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The sample space of Y is {1,2,3,4,5,6,8,10,12,9,15,18,16,20,24,25,30,36} 1 1 36 1 2 18 1 3 18 1 4 12 1 5 18 1 6 9 1 8 18 1 10 18 1 12 9 ( ) 1 9 36 1 15 18 1 18 18 1 16 36 1 20 18 1 24 18 1 25 36 1 30 18 1 36 36 Y if y if y if y if y if y if y if y if y if y P y if y if y if y if y if y if y if y if y if y = = = = = = = = = = = = = = = = = = = 0 1 1 1 2 36 1 2 3 12 5 3 4 36 2 4 5 9 5 5 6 18 7 6 8 18 4 8 9 9 17 9 10 36 19 ( ) 10 12 36 23 12 15 36 25 15 16 36 13 16 18 18 7 18 20 9 15 20 24 18 8 24 25 9 11 25 30 12
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Unformatted text preview: 35 30 36 Y if y if y if y if y if y if y if y if y if y F y if y if y if y if y if y if y if y if y if < ≤ < ≤ < ≤ < ≤ < ≤ < ≤ < ≤ < ≤ < = ≤ < ≤ < ≤ < ≤ < ≤ < ≤ < ≤ < ≤ < 36 1 36 y if y ≤ < ≤ 3. a. P[X ≤ 9] = 5 (9) 6 X F = b. P[X is even or ≥ 9] = 1- P(X is odd and <9) = 2 1 (3) (5) (7) 3 X X X P P P---=...
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Solution to HW 4 - 35 30 36 Y if y if y if y if y if y if y...

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