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Q. Rolling a fair eight-sided die produces a uniformly distributed set of numbers between 1 and 8 with a mean of 4.5 and a standard deviation of XXXXXXXXXXAssume that n eight-sided dice are rolled...

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Q. Rolling a fair eight-sided die produces a uniformly distributed set of numbers between 1 and 8 with a mean of 4.5 and a standard deviation of XXXXXXXXXXAssume that n eight-sided dice are rolled many times and the mean of the n outcomes is computed each time. a. Find the mean and the standard deviation of the resulting distribution of sample means for n=36. The mean of the resulting distribution of the sample means is?
Answered Same Day Dec 20, 2021

Solution

David answered on Dec 20 2021
116 Votes
Q)
Rolling an eight sided die will produce an uniformly distributed discrete probability distribution.probability of each outcome will be 1/8 .

mean = xipi = 4.5
variance = xi^2pi = 51/2
standard deviation = (51/2)^1/2
mean of sample of means = n x mean of each die indivisually =...
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