An urn contains 10 red balls and 30 blue balls.a Suppose you draw 4 balls from the urn. Let Xi bethe number of red balls drawn on the ith ball (Xi 0 or1). After each ball is drawn, it is put back into the urn. Are the random variables X1, X2, X3, and X4 indepen-dent random variables? b Repeat part (a) for the case in which the balls are notput back in the urn after being drawn.

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An urn contains 10 red balls and 30 blue balls.
a Suppose you draw 4 balls from the urn. Let Xi be
the number of red balls drawn on the ith ball (Xi 0 or
1). After each ball is drawn, it is put back into the urn.

Are the random variables X1, X2, X3, and X4 indepen-
dent random variables?

b Repeat part (a) for the case in which the balls are not
put back in the urn after being drawn.

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