We use Gaussian distribution N(H, 02) to track the location of an object in 1-dimensional space. We assume the prior position follows N(2,5). Then there is a motion, which follows N(1,7). Then we have a sensor measurement, which follows N(3,6). Then there is another motion, which follows N(4,2). What Gaussian distribution does the posterior position follow after each motion and sensing sequentially? 1. [2 points) After the 1st motion: 2. [4 points] After the 1st sensing: 3. [2 points] After the 2nd motion