Question: 4. (20 POINTS ): Given the following randomized algorithm: procedure RandomCount() counter = 0 for i=1 through n flip a biased coin if I then

4. (20 POINTS ): Given the following randomized algorithm: procedure RandomCount()

4. (20 POINTS ): Given the following randomized algorithm: procedure RandomCount() counter = 0 for i=1 through n flip a biased coin if I then counter = counter + 3 else counter = counter 2 end where H is Heads, Tis Tail and only 40% of the time we get a Heads up. If X is the random variable defined as the value of counter at the end of the RandomCount procedure, then what will be E[X]? Please show your work

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