Problem 8: The length of a vital component referred to as a \"widget\" follows a continuous Uniform Distribution between 5.88 and 8.15 centimeters. Find the following: (a) The Cumulative Distribution function of the widgets. (b) What proportion of widgets will exceed 7.74 centimeters in length? (c) What length will be exceeded by 90% of widgets? (d) What is the mean and the variance of the length of the widgets