In a new fantasy video game, the damage you inflict to your opponent in a battle is a random variable, X, with cumulative distribution function (r +1)3, for -1 0 a) [3 marks] Find the probability density function of X. b) [4 marks] Find the mean and variance of X. c) [3 marks] When using a "super charged attack", the damage inflicted to your opponent is a random variable defined as Y = 4X. Find the probability density function of Y