Let X denote the number of white balls selected when k balls are chosen at random from
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Let X denote the number of white balls selected when k balls are chosen at random from an urn containing n white and m black balls.
(a) Compute P{X = i}.
(b) Let, for i = 1, 2, . . . , k; j = 1, 2, . . . , n, Xi =
1, if the ith ball selected is white 0, otherwise Yj =
1, if white ball j is selected 0, otherwise Compute E[X] in two ways by expressing X first as a function of the Xis and then of the Yj s.
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