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

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 biased coin if H then counter - counter 3 else counter - counter -2 end where H is Heads, T is Tail and only 40% of the time we get a Heads up. fX is the random variable defined as the value of counter at the end of the RandomCount0 procedure, then what will be ElX]? Please show your work

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