Repeat Problem 1 when the ball selected is replaced in the urn before the next selection.
Problem 1
In Problem 2, suppose that the white balls are numbered, and let Yi equal 1 if the ith white ball is selected and 0 otherwise. Find the joint probability mass function of
(a) Y1, Y2;
(b) Y1, Y2, Y3.
Problem 2
Suppose that 3 balls are chosen without replacement from an urn consisting of 5 white and 8 red balls. Let Xi equal 1 if the ith ball selected is white, and let it equal 0 otherwise. Give the joint probability mass function of
(a) X1, X2;
(b) X1, X2, X3.
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