You are designing a new robot to give campus tours. but while testing the robot in aldrich park, it malfunctions and begins driving randomly along a path. let x = 0 indicate the robot’s position when a malfunction occurs, positive x values indicate movement to the north, and negative x values indicate movement to the south. a) suppose that every minute, the robot travels south 5 meters with probability 1/2, or north 5 meters with probability 1/2. the directions of travel at successive minutes are independent. after one hour, what is the expected position of the robot? what is the standard deviation of the robot’s position?