Question

In: Statistics and Probability

Rolling a fair six-sided die five times could result in the following sample of n =...

Rolling a fair six-sided die five times could result in the following sample of n = 5 observations:

What are the mean, variance, and standard deviation?

Solutions

Expert Solution

Here n = 5

p = probability of success = 1/6

Mean = n*p

          = 5 * (1/6)

          = 5/6

           = 0.83

Mean = 0.83

Variance = n * p * (1-p)

               = 5 * (1/6) * (1-1/6)

               = 5 *(1/6) * (5/6)

               = 0.69                    (Round to 2 decimal)

Variance = 0.69

Standard deviation =

                               =

                                = 0.83            (Round to 2 decimal)

Standard deviation = 0.83


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