Question 5: An electrical engineer uses different size cables for powering an industrial motor. American Wire Gauge (AWG) is the standard way to denote wire size in North America and ranges from 0000 to 40. In AWG, the larger the number, the smaller the wire diameter and thickness. Each cable's AWG size is assigned based on the diameter of the cable (measured in millimeters (mm)). Let X = selected cable diameter size measured in mm and assume it has the following the distribution. AWG 4 3 2 1 O x 519 5.83 6.54 735 8.25 p(x) 0.38 0.26 0.19 0.10 0.07 a) What is the average cable diameter size (in mm) used by this electrical engineer? [6 pts] b) What is the probability that a randome selected cable used by this electrical engineer is no more than 7mm in diameter? [8 pts]