Name: 1. Calculate the following quantities using the data set 9, 4, 8, 5, 1, 9, 6. Show your work. (a) x 2 (b) x (c) The sample mean (d) The sample variance (e) The sample standard deviation (f) The median (g) The mode 2. Suppose X is a discrete random variable with probability mass function x p(x) 5 10 16 0.4 0.2 0.15 Calculate the following. 24 0.1 30 0.15 (a) P (10 X < 30) (b) P (X > 16) (c) E(X) (d) The variance and standard deviation of X