4 A book club sends 6 paperback and 2 hardback books to Mrs Hunt. She chooses 4 of these books at random to take with her on holiday. The random variable \(X\) represents the number of paperback books she chooses.
- Show that the probability that she chooses exactly 2 paperback books is \(\frac { 3 } { 14 }\).
- Draw up the probability distribution table for \(X\).
- You are given that \(\mathrm { E } ( X ) = 3\). Find \(\operatorname { Var } ( X )\).