Probability Tables

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We start with a raw table of values and for each value, a probability of getting that value.

x

1

2

3

4

5

P(X=x)

0.1

0.3

0.15

0.25

0.2

From this table we can find

There are formulae for and They are

Suppose we need to find and

No matter how we transform the variables x and y, the correlation coefficient remains the same. The coefficient for the transformed variables is the same as for the original variables. The correlation coefficient is a fundamental property of the relationship and does not depend on the coordinates we are using.

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