3. (20 points) Consider a circular dart board with radius 1 that is inscribed in a square frame: (-1,1) (-1,-1) (1,1) (1,-1) Suppose you
3. (20 points) Consider a circular dart board with radius 1 that is inscribed in a square frame: (-1,1) (-1,-1) (1,1) (1,-1) Suppose you throw n independent darts at random into the square frame and let X equal the number of darts that land on the dart board (i.e., in the circle). We define the estimator = 4X n in terms of X. (a) Compute the expected value of , making sure to show your work. (b) What is an estimator for?
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Authors: John J. Coyle, Robert A. Novak, Brian Gibson, Edward J. Bard
8th edition
9781305445352, 1133592961, 130544535X, 978-1133592969
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