Exercise 2 (3 points). Let (X1, . .., X10) ~ Multinomial(n, 10, pi, . . ., Pio) where n E N and ) pi = 1. What is the distribution of the random vector (Y1, . .., Ys), where we define Y1 = X1 + X2, Y2 = X3 + X1, Y3 = Xs + X6, YA = X7 + Xs and Ys = X9 + X10. (Extra credit: + 3points) Explain why, if I do not specify the relationship between the original outcomes X1. .... X, and the new outcomes Y1, ..., Y. for k