Mathematical Statistics with Applications
Mathematical Statistics with Applications
7th Edition
ISBN: 9780495110811
Author: Dennis Wackerly, William Mendenhall, Richard L. Scheaffer
Publisher: Cengage Learning
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Chapter 14, Problem 32SE
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List the characteristics of a multinomial experiment.

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Properties of a multinomial experiment:

  • The experiment has n identical trials.
  • The outcome of each trial falls into one of k classes.
  • The probability that the outcome of a single trial falls into cell i is pi for i=1,2,...k and remains the same from trial to trial.
  • The trials are independent.
  • Y1,Y2,...,Yk are a random variables of interest, where Yi is equal to the number of trials for which the outcome falls into cell i.

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