Suppose that you have a four-sided die that is equally weighted (i.e. equal chance of any of the four sides landing face up). The four values on the die are [12.5968, 2, -2 and -12.5968] . If we roll the die 81 times, record the average, and repeat this process a total of 100 times, what does the central limit theorem predict will be the shape of the distribution of the set of averages?   a) Uniform   b) Non-normal   c) No requirements, any shape   d) Bell Shaped

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section11.5: Simulating Games Of Chance
Problem 37P: The game of Chuck-a-Luck is played as follows: You pick a number between 1 and 6 and toss three...
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Suppose that you have a four-sided die that is equally weighted (i.e. equal chance of any of the four sides landing face up). The four values on the die are [12.5968, 2, -2 and -12.5968] . If we roll the die 81 times, record the average, and repeat this process a total of 100 times, what does the central limit theorem predict will be the shape of the distribution of the set of averages?

  a)

Uniform

  b)

Non-normal

  c)

No requirements, any shape

  d)

Bell Shaped

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