# Statistics Examples

, ,

Using the Bayes' rule, .

Substitute the given values , , and in Bayes' rule to get .

Multiply by to get .

Multiply by to get .

Multiply by to get .

Divide by to get .

, ,

Using the Bayes' rule, .

Substitute the given values , , and in Bayes' rule to get .

Multiply by to get .

Multiply by to get .

Multiply by to get .

Divide by to get .

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$\text{}\left[\begin{array}{cc}{x}^{2}\text{}& \text{}\genfrac{}{}{.05ex}{}{1}{2}\text{}\\ \text{}\sqrt{\pi}\text{}& \text{}{\displaystyle \int}xdx\text{}\end{array}\right]\text{}$