I am pretty confused about how to form the probability distribution function of the following question:
Suppose you have a tetrahedron with numbers 1,2,3,4 on respective faces. If you roll 10 such tetrahedrons 100 times, what will be the mean value of the number and the variance you get. Plot the distribution as a function of number. I think the number refers to the sum of the values on all the tetrahedrons. How can I form the PDF of this case I think I shall think of them as 10-tuples in analogy with the two dice throw example, but we have 100 throws here. Any help, suggestion and hint will be greatly appreciated.
Thanks in advance