N fair 12sided dodecahedronshaped dice are independently cas

N fair 12-sided (dodecahedron-shaped) dice are independently cast. What is the mean value for the sum of all the top numbers showing? What are the variance and standard deviation of the sum of all the top numbers showing?

Solution

mean = np

standard deviation = sqrt(npq)

variance = npq

it can be conisdered binomial distribution