A Markov Process has two states labeled 0 and 1. The process spends random amount of time in each and every state, and when it leaves one of the states it goes to the other. The time the process spends in state 0 is a random variable with density:

2e ^(-2t) , t0.

and the time the process spends in state 1 is a random variable with density:

3e ^(-3t) , t0.

a) Find the P(t) matrix

b) Find the matrix