Cumulative Distribution and Residence Time Distribution Curves

Consider the following mixture distribution:

.

You can change this distribution's properties by setting values for , , , and . This Demonstration plots this distribution. For specific values of , , , and , one can obtain a bimodal distribution, which mimics the residence time distribution () of a batch reactor.

This Demonstration also computes the cumulative distribution curve, , which as expected exhibits two plateaus in the case of a bimodal . The cumulative distribution is given by the following definition: , where is the residence time distribution.