In an electronic system, a sensor measures a crucial parameter and outputs a number, but there is random error in its measurement. The measurement error in a sensor output is known to be RV X with uniform distribution in (-0.05,0.05) and independent from one output to the next, that is, the errors are iid! During a run of the system, n = 1000 samples of the sensor output are recorded. (a) Find the numerical value of the mean ux and the variance oź for the uniform distribution described. (You can use results in the text by listing the theorem or formula.) Further processing of these n= 1000 samples adds them together, and we are concerned about the overall error in the sum resulting from adding 1000 iid errors. Let X, denote the error in the įth sample for 1 1." Show all the steps in how you compute this. (f) Are the answers in (d) and (e) in agreement? If they are different, explain how both can be correct.