2 A bag contains 5 red balls and 3 blue balls. Sadie takes 3 balls at random from the bag, without replacement. The random variable \(X\) represents the number of red balls that she takes.
- Show that the probability that Sadie takes exactly 1 red ball is \(\frac { 15 } { 56 }\).
- Draw up the probability distribution table for \(X\).
- Given that \(\mathrm { E } ( X ) = \frac { 15 } { 8 }\), find \(\operatorname { Var } ( X )\).