Suppose the mechanical inaccuracies in the open-loop positioning sys- tem of Example 7.1 are described by a normal distribution with standard deviation = 0.007 mm. The range of the worktable axis is 1,500 mm, and there are 18 bits in the binary register used by the digital controller to store the programmed position. Other relevant parameters from Example 7.1 are the following: pitch = 5.0 mm gear ratio between motor shaft and screw = 7.0, and number of step angles in the stepper motor = 32. Determine the (a) control resolution, (b) accuracy, and (c) repeatability of the positioning system.