Unformatted text preview: '-‘_:.+ £9 2322+ (92823 + (92824 ]_ _ 004622 domaider M: 23.1 I- where I is the indicator of the z'th ball being 1n the 22th box. J: "
'usE(M)=nE(I)=1 , n
211' i:l n \
=E(ZI‘\ TF.‘ :1in i=1 i<j Til .
:1 2 > __
+ (Qtjnn—l Thus SD(M) _—_ 2_1=1 I‘ C) For large n, the distribution of M is approximately Poisson( 1) Intuitively, the distribu-
tion 1s very much like a. binomial(n,n) except for the dependence between the draws, but
as the number of draws gets large the dependence between draws becomes small, and the Poisson(1) becomes a good approximation. ...
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- Fall '03