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## Section 6.1 Correlation

Text of section.
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### Exercises Exercises

#### 1.

Calculate the correlation of \(X\) and \(Y\text{:}\)
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Table 6.1.1.
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| \(X = 1\) | \(X = 2\)
--- | --- | ---
\(Y = 0\) | 0.12 | 0.24
\(Y = 1\) | 0.3 | 34

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#### 2.

Calculate the correlation of \(X\) and \(Y\text{:}\)
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Table 6.1.2.
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| \(X = 0\) | \(X = 1\) | \(X = 2\)
--- | --- | --- | ---
\(Y = 0\) | 0.08 | 0.16 | 0.1
\(Y = 1\) | 0.14 | 0.2 | 0.32

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#### 3.

Suppose we roll a fair, 4-sided die two times. Let \(X\) be the sum of the rolls, and let \(Y\) be the product of the rolls. Find the correlation of \(X\) and \(Y\text{.}\)
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[Note: Somewhat tedious.]
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