Question: visual representation of cumulative distribution function

Hi,

For a pedagogical purpose, I am trying to build an animation that illustrates the connection between:

• the area under the curve of a probability density function, and

• the cumulative distribution function of a random variable.

The idea is to let a bound x vary and show simultaneously:

• the accumulated area under the density curve up to x;

• the corresponding value of the CDF .

My goal is to obtain a visual representation that helps students clearly understand that the cumulative distribution function represents the accumulated area under the density function.

Do you have suggestions on how to organize this cleanly in Maple, possibly with synchronized animation or an interactive visualization?

Thank you very much for your help.

Q_CDF_PDF.mw