If the probability distribution of X is given by f(x) = (1/2)x for x = 1, 2, 3, . . . show that E(2X) does not exist. This is the famous Petersburg paradox, according to which a player’s expectation is infinite (does not exist) if he or she is to receive 2x dollars when, in a series of flips of a balanced coin, the first head appears on the xth flip.