There is a problem associated with rolling the 4-sided or 5-sided die, it doesn't roll very well. Typically, these types of die are not unbiased. In an experiment you are asked to roll two five-sided dice. The sides of each die are numbered from 1 thru 5 and the two die rolls are independent. Assume that the two 5-sided biased dice has the following probability distributions: Dice 1 X 1 2 3 4 5 PIX) 0.2 0.2 0.3 0.2 0.1 Dice 2 1 2 3 4 5 Ply) 0.1 0.2 0.3 0.3 0.1 Calculate the theoretical values of mean variance and standard deviation of individual and differences between two dice (x-y) tossing, assuming X and Yare independent. Thus, we calculate the following (Enter your answers in the edit fields -- only numere values. Enter all responses with four decimal places) E(X) = E(Y) = VIX) - V(Y) = (X) = S[Y) = EX-Y) = VOX-Y) Where, E is for expected value or mean, V is for variance, and S is for standard deviation