Short Answers: (a) Find the variance for sample data: {-3, 2, 1, 3, 8}. (b) If X ~ Geometric (0.2). (i) Find p. (ii) Find P(X > 3). (c) If X ~ Poisson (1 = 1.69), (i) Find o. (ii) Find P(X 2 1). (d) Suppose Z ~ N(0, 1). (i) Find P(Z > 0.82). (ii) If P(Z s zo) = 0.883, find zo. (e) If the moment generating function of X is Mx (t) = est+4.5t-, t ER then determine the following: (i) Name of distribution of X. (ii) H. (iii) o. (f) If X ~ N(9, 5) and Y ~ N(4, 5) are independent, find E((X - 9)2y)