### F-Distribution$X \sim F_{(df_1,df_2)}$

 $df_1=$ $df_2=$ $x=$ P(X > x)= P(X < x)=

This applet computes probabilities and percentiles for the F-distribution $X \sim F_{(df_{1},df_{2})}$.

Directions:

• Enter the numerator degrees of freedom in the $df_1$ box.
• Enter the denominator degrees of freedom in the $df_2$ box.
• To compute a left-tail probability, select $P(X \lt x)$ from the drop-down box, enter a numeric $x$ value in the blue box and press the "Compute" button. The probability $P(X \lt x)$ will appear in the pink box. Select $P(X \gt x)$ from the drop-down box for a right-tail probability.

• To determine a percentile, enter the percentile (e.g. use 0.8 for the 80th percentile) in the pink box, select $P(X \lt x)$ from the drop-down box, and press the "Compute" button. The percentile $x$ will appear in the blue box.

On the graph, the $x$ value appears in blue while the probability is shaded in pink.