Suppose storm troopers heights in inches are normally distributed: HN(73,0.52) Let W represent the width of a random storm trooper's helmet. Suppose W=101H+E, where EN(0,0.32). You can think of E as an independent, pure error term. Evaluate the following: a) (0.5 pt) Regina George will only go to the Halloween party with a storm trooper if they are at least 73.5 inches tall. What is the probability that a randomly selected storm trooper is at least 73.5 inches tall? b) (0.5 pt) Lotso asks Antman to kidnap and shrink a randomly selected storm trooper to 101th of their original height, (101H). What is the probability that the shrunken height is between 7 and 7.5 inches? c) (1 pt) Find the correlation between height and helmet width: H,W..