A water bottle manufacturing have two major flaw components. Let enote the number of flaws on the bottle cap and let X₂ denote the numbe f flaws on the bottle surface. Suppose the joint frequency table of X₁ an is given by the accompanying table. X1 0 0 8 7 X2 1 7 16 2 5 5 3 1 3

A First Course in Probability (10th Edition)
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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
012
1|
2
3
087
0
8
X2
1
768
7 16
4
3 6
0 2
255
2
9
5
4
3
1
3
6
8
6
What is the probability that the are one or two flaws on the bottle cap
given that there are one or two flaws on the bottle surface.
• Solve for the covariance and correlation between 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 012 1| 2 3 087 0 8 X2 1 768 7 16 4 3 6 0 2 255 2 9 5 4 3 1 3 6 8 6 What is the probability that the are one or two flaws on the bottle cap given that there are one or two flaws on the bottle surface. • Solve for the covariance and correlation between X₁ and X₂
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