The uniform distribution on the set S = {O, 1, 2, ••• , 9} has
E(X) = 4.5 and Var(X) = 8.25. The following is a sample of 25
observations from this distribution (i.e., a sample of random
digits): 6, 0, 6, 7, 0, 2, O, 7, 7, 7, 3, 7, 7, 4, 1, 1, 1, 6,
O, 0, 1, 4, 4, 4, O. Find the value of s 2 for this sample.
Does it seem a reasonable estimate of Var(X)?