Question: Question 1 (30 POINTS): Given the following randomized algorithm: procedure RandomCount() counter = 0 for i=1 through n flip a fair coin if H then

Question 1 (30 POINTS): Given the following randomized algorithm: procedure RandomCount()

Question 1 (30 POINTS): Given the following randomized algorithm: procedure RandomCount() counter = 0 for i=1 through n flip a fair coin if H then counter = counter + 1 else counter = counter - 1 1/meaning T end where H: Heads, T: Tail. If X is the random variable defined as the value of counter at the end o the RandomCount() procedure, then what will be E[X]? Please show your work

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