Problem 1: Least Mean Square Error A roadside speed monitor in a residential area overestimates the speed of incoming cars by an amount that is uniformly distributed between -2 and 2 miles/hour. Since the speed limit in res- idential area is 25 miles/hour, we can assume car speeds to be uniformly distributed between 20 and 30 miles/hour. Find the LMS estimator of a car’s speed based on roadside speed monitor’s measurement.