67. Let X denote the number of white balls selected when k balls are chosen at random...

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67. Let X denote the number of white balls selected when k balls are chosen at random from an urn containing ç white and m black balls.

(i) Compute P{X = /).

(ii) Let, for / = 1,2, ...,k;j = 1,2,

÷ _ ( 1, if the /th ball selected is white 1 (0, otherwise

ÃÀ, if theyth white ball is selected j \ 0, otherwise Compute E[X] in two ways be expressing X first as a function of the Ays and then of the Y/s.

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