Let X be a random variable such that P{X = a} = 1/2, P{X = b} = 1/3 and P{X = c} = 1/6. Let X1, X2, ...,X200 be a random sample from the distribution of X. Suppose that among the first 100 observation of Xi, 55 were equal to a and 38 were equal to

b. Among the next 100 observations, 51 are equal to

a, and 30 are equal to

b. Determine supt|F200(t) − F(t)| and supt|F100(t) − F(t)| in all six cases a

a, a = b <

c, . . . , and a = b = c.