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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.

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Suppose storm troopers heights in inches are normally distributed HN.pdf

  • 1. 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.