please solve number 2. (only)

5. (20 pts) You are given the prior distribution which is Gaussian with mean=-1.0 and variance =1.0, and the transition model which is also a Gaussian with a constant variance =3.0. 1. Please compute prediction for P(r,|zo) and update it when you observe the value 3 for the state r]. 2. Draw those functions P(ro). P(xi|ro), P(21|21) in one figure approximately