Assume the grasshopper is sitting in middle of long narrow tiled hallway. It moves along by jumping distances of one tile to right or left down the length of hallway. With probability p (0≤p≤1), grasshopper will jump one unit to left, and with probability is 1-p that grasshopper will jump one unit to right. How far away do you expect grasshopper to be after n jumps relative to where it started? Determine the expected value of distance away from grasshopper's starting point.