Statistics for Throwing a Die Three Times
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Consider the experiment of repeatedly throwing a die three times. Let ,
and
be the outcomes of the first, second and third throws, respectively. Consider the statistic
. This Demonstration samples the distribution of
as a result of repeating the experiment a number of times. As a consequence of the properties of the expected value and variance, the theoretical mean, variance and standard deviation are
,
,
. This Demonstration shows that the observed values of
after a large number of repeats give average and standard deviation very close to the theoretical values.
Contributed by: Diego Ramos (December 2020)
Open content licensed under CC BY-NC-SA
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