Question: Given this algorithm Initialize X 0 for each stream update do Flip a coin that is HEADS with probability 1 / 2 ^ X if

Given this algorithm
Initialize X 0
for each stream update do
Flip a coin that is HEADS with probability 1/2^X
if the coin is HEADS then
X X +1
return Z =(2^X)1
Compute, with proof, E [Z] and
Calculate Variance[Z] by showing E[2^2C]=(3/2)* m^2+(3/2)* m +1

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