1. A survey by Gallup asked a random sample of American adults about their soda consumption. Let's call X the number of glasses of soda consumed on a typical day. Gallup found the following probability model of X:(10 points) X 0 2 3 4+ Probability 0.51 0.27 0.11 ? 0.06 Consider the events A=number of glasses of soda is 3 or less B=number of glasses of soda is 2 or more (a) The table above is the probability table. Find the probability that 3 glasses of soda was consumed.(1 point) (b) What is P(A)?(1 point) (c) What is P(B)?(1 point) (d) What is P(A and B)?(2 points) (e) Are event A and B disjoint? Why?(1 point) (f) Find the mean of X.(2 points) (g) Find the standard deviation of X.(2 points)