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. 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.