Suppose storm troopers heights in inches are normally distributed: H ? N(72, 0.52) Let W represent the width of a random storm trooper's helmet. Suppose W = 1 10H +E, where E ? N(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. If a randomly selected storm trooper asks her to the party, find the probability that Regina will not go with them. b) (0.5 pt) Lotso asks Antman to kidnap and shrink a randomly selected storm trooper to 1 10 th of their original height, ( 1 10H). 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 .

Suppose storm troopers heights in inches are normally distributed: H ~ N (72, 0.52) Let W represent the width of a random storm trooper's helmet. Suppose W = TH + E, where E ~ N(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. If a randomly selected storm trooper asks her to the party, find the probability that Regina will not go with them. b) (0.5 pt) Lotso asks Antman to kidnap and shrink a randomly selected storm trooper to path of their original height, ( 10 H). 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: PH,W