Let X be a random variable distributed uniformly over [0, 20]. Define a new random variable Y

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Let X be a random variable distributed uniformly over [0, 20]. Define a new random variable Y by Y = [X] (the greatest integer in X). Find the expected value of Y. Do the same for Z = [X + .5]. Compute E (|X − Y |) and E (|X − Z|). (Note that Y is the value of X rounded off to the nearest smallest integer, while Z is the value of X rounded off to the nearest integer. Which method of rounding off is better? Why?)
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Understanding Basic Statistics

ISBN: 9781111827021

6th Edition

Authors: Charles Henry Brase, Corrinne Pellillo Brase

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