A water bottle manufacturing have two major flaw components. Let X denote the number of flaws on the bottle cap and let X₂ denote the numbe of flaws on the bottle surface. Suppose the joint frequency table of X₁ an X₂ is given by the accompanying table. 0 8 00 X2 1 7 25 2 5 3 1

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Chapter1: Combinatorial Analysis
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A water bottle manufacturing have two major flaw components. Let X₁
denote the number of flaws on the bottle cap and let X₂ denote the number
of flaws on the bottle surface. Suppose the joint frequency table of X₁ and
X₂ is given by the accompanying table.
X1
10
1|
2
3
087
0
8
7
4
3
0
X2
1 2
3
1
3
8 9
6
6
5
8
2 4 6
255
76
16
• What is the probability that the flaws for each component is equal?
• What is the probability that there are at least two or more flaws in one
component than in the other.
•Compute the marginal PMF of X₁ and X₂
Transcribed Image Text:A water bottle manufacturing have two major flaw components. Let X₁ denote the number of flaws on the bottle cap and let X₂ denote the number of flaws on the bottle surface. Suppose the joint frequency table of X₁ and X₂ is given by the accompanying table. X1 10 1| 2 3 087 0 8 7 4 3 0 X2 1 2 3 1 3 8 9 6 6 5 8 2 4 6 255 76 16 • What is the probability that the flaws for each component is equal? • What is the probability that there are at least two or more flaws in one component than in the other. •Compute the marginal PMF of X₁ and X₂
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