a. In a Poisson process, what has to happen in both the time interval (0, 1) and the interval (t,+ Ar) so that no events occur in the entire interval (0, + Ar)? Use this and Assumptions 1-3 to write a relationship between Po(t + Ar) and P(t).

b. Use the result of part

(a) to write an expression for the difference Po(t + At) - P(). Then divide by Ar and let Ar 0 to obtain an equation involving (d/dt)P,(t), the derivative of Po(t) with respect to