Please answer by ChemE expert: Thank you

Muppet Labs, Dr. Bunsen Honeydew found the following RTD from a tracer data on a non-ideal reactor.

The inlet flow rate is 2 L/min.

E(t) = 0.25. t 0 < t < 2 min

E(t) = 1-0.25. t 2 < t < 4 min

E(t) = 0 t > 4 min

1. What is the cumulative distribution function, F(t), of this reaction to a step change in the inlet concentration from 0 to 1 mol/L at t = 0 min?
2. What is the mean residence time, t m, for this reactor?
3. What is the volume, V, of this reactor?
4. Dr. Honeydew would like to run the elementary reaction A B in this reactor. Assuming that the rate constant, k, is known, write the integral equation that is needed to solve for the average conversion, X avg , in this reactor. Assume the segregation model of mixing. Assume that the feed is pure A. Do not integrate this expression, leave the expression in integral form.