- There is a 1x10 grid with 10 squares. A robot is located on 1 of this squares. It receives a reading (observation) o=5 from its left sensor,which means that the robot should be located on the 5th square starting from the left, location denoted by L(5,0). The probability that this is correct is 0.8, the probability that "it is unit more is 0.1 and that it is one unit less is 0.1". Calculate the probability that the robot is in location L(5,0) after observation o, this is, calculate p(L(5,0)|o)). We know that p(o |L(5,0))) = 0.6, p(o |L(4,0))) = 0.2, p(o |L(6,0))) = 0.2, and 0 for all other L
- Bayes Theorem
A similar question was asked on a final exam. I assume that p(L(5,0)|o)) is actually 0.8 since it says "the probability that this is correct is 0.8", but isn't it like too easy? Am I making any mistakes? We are given extra information that we don't have to use at all?