Q2 New radioactive particles are generated at rate Mu from a

Q2 New radioactive particles are generated at rate Mu from a radioactive source. They have a lifetime with distribution Exp(1) after which they decay. At time 0 there are no particles present, calculate the distribution of the number present at time 1. For a particle present at time 1, calculate the distribution of the time that it arrived.

Solution

P = p0e^-t