2 This is a continuation of the previous problem Recall that X X X7 be the number empty boxes when 10 distinct balls are

Question

2 This is a continuation of the previous problem Recall that X X X7 be the number empty boxes when 10 distinct balls are randomly distributed into 7 distinct boxes In this question we are interested in finding the variance Var X of X a Show that X X X X XiX i 1 1si j 7 i j b Argue that E X E X for all 1 i 7 Hint Compare X and X c Show that for i j 510 E X X 710 d Finally using Var X E X2 E X to find Var X

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