Let X be a random variable with image Im(X) = {−2, −1, 0, 1, 2}. (a) Fill in the blank in the table below to make it a valid probability mass function: x −2 −1 0 1 2 pX (x) 0.1 0.3 0.3 0.1 (b) Add the cumulative distribution function, FX (x) to the table. (c) Using pX (x), determine the probabilities that... i. X is at least 1. ii. X is greater than -1 and at most 1 iii. X is a negative value (d) Using FX (x), find... i. FX (1) ii. FX (.5) iii. P(X ≥ 0) (rewrite this first in terms of FX (x)) (e) Find the expected value and variance of X