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By: Neil E. Cotter |
Probability |
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Correlation |
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Example 6 |
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Ex: Find the correlation, ρXY, for the following joint probability density function:
The following information is given:
Sol'n: We proceed with the calculation of variances.
Subtract the mean squared to find the variance:
By symmetry the variance is the same for Y.
Now we plug values into the formula for correlation:
The correlation is nonzero but very small.