1. The table relates the weights and heights of a group of individuals participating in an observational study. Tall Medium Short Totals Obese 18 28 14 Normal 20 51 28 Underweight 12 25 9 Totals (a) Find the totals for each row and column [2] (b) Find the probability that a randomly chosen individual from this group is Tall. [1] (c) Find the probability that a randomly chosen individual from this group is Obese and Tall. [1] (d) Find the probability a randomly chosen individual from this group is Tall or Underweight. [3]| (e) Find the probably that a randomly chosen individual from this group is Normal given that the individual is Medium. [3]2. The probability that Neil wins a game of chance is 0.4. He plays 2 games. Complete the tree diagram below. [4] Game 1 Game 2 Probabilities 0.4 Win Win 0.4 No Win Win No Win No WinFind the probability that: (a) He wins both games (1] O (b) He wins only one game [2]3. Below shows a discrete probability distribution: [10] X 1 2 3 4 5 P(x) 0.2 0.3 m 0.1 0.1 Find: (a) The value of m (b) (3