## Probability Tables

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 forand They are

Suppose we need to findand

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.