In a game, participants spin a wheel to win a prize. The wheel is split into 10 sections showing how much money participants can win. Six wedges show $0, two wedges show $100, one wedge shows $300 and one wedge shows $800. The table below represents the probability density function for the random variable X , where X is the amount won in a spin. Find the mean of X . x P(X = x) 0 3/5 100 1/5 300 1/10 800 1/10