Question: 15.2.2 Let X be a random variable such that P{X = a } = 1 / 2 , P { X = b} = 1/3

15.2.2 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 XI,X2 , . . . , X200 be a random sample from the distributionof X . Suppose that among the first 100 observation of X i , 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 sup, IF20o(t) - F(t)l and sup, IF1oo(t) - F(t)I in all six cases a < b <

c, a < c <

b, b < a <

c, and so on, as well as in all cases such as b = c < a , a = b < c , . . ., anda = b = c.

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