please show and explain your work

.. b d Consider the simple 4-state environment above. You are not sure exactly where you are, but your belief state is

= . You have a noisy sensor that allows you to detect how many walls are adjacent to you, with a probability of making a correct observation being 0.7. For example, if you are in state a, with 0.7 probability you will receive a percept saying there are 3 adjacent walls (correct observation). However, you have a noisy actuator. For any action, there is a 0.75 chance that you move in the given direction. 0.1 chance that you move in a 90 degrees clockwise direction instead 0.1 chance that you move in a 90 degrees counterclockwise direction instead 0.025 chance that you move in the opposite direction 0.025 chance that you don't move at all 1. [2 points] For each state a, b, c, d, list the possible resulting states of going north starting in that state. , 2. [6 points] Suppose you take a single action, "north," and receive a percept that says there are three adjacent walls (a, b, d have three walls and c has one wall). Calculate the resulting belief state. Show all work, and simplify to 3 decimal places. .. b d Consider the simple 4-state environment above. You are not sure exactly where you are, but your belief state is

= . You have a noisy sensor that allows you to detect how many walls are adjacent to you, with a probability of making a correct observation being 0.7. For example, if you are in state a, with 0.7 probability you will receive a percept saying there are 3 adjacent walls (correct observation). However, you have a noisy actuator. For any action, there is a 0.75 chance that you move in the given direction. 0.1 chance that you move in a 90 degrees clockwise direction instead 0.1 chance that you move in a 90 degrees counterclockwise direction instead 0.025 chance that you move in the opposite direction 0.025 chance that you don't move at all 1. [2 points] For each state a, b, c, d, list the possible resulting states of going north starting in that state. , 2. [6 points] Suppose you take a single action, "north," and receive a percept that says there are three adjacent walls (a, b, d have three walls and c has one wall). Calculate the resulting belief state. Show all work, and simplify to 3 decimal places