3) Define a set indicator R.V. S(x) = 1 if x is covered; 0 otherwise
3) Define a set indicator R.V. S(x) = 1 if x is covered; 0 otherwise
?(X) = ? S(i ?x) ?x
E[?(X)] = E[ ? S(i ?x) ?x]
E[?(X)] = ?[1*PN + 0*(1-PN)] ?x
E[?(X)] = PN ??x =PN *1 = PN
E[?(X)] = 1 - (1/[1+a])N
0
1
-a/2
1+a/2
a
x
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