MATH 376 -- Probability and Statistics II 

F-distributions 

January 28, 2010 

The F-distribution describes the distribution of a  

ratio of two   - distributed random variables, scaled 

by the numbers of degrees of freedom of each:  If   

is  ()  and    is   () ,  then the ratio  

 has an  F-distribution with  ``numerator 

degrees of freedom'', and  ``denominator degrees of  

freedom''.   F-distributions are always skewed, with  

expected value > 1, if  

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