5. The letters of the word DISTRIBUTION are written on separate cards. The cards are then shuffled and the top three are turned over.
Let the random variable \(V\) be the number of vowels that are turned over.
- Show that \(\mathrm { P } ( V = 1 ) = \frac { 21 } { 44 }\).
- Find the probability distribution of \(V\).
- Find \(\mathrm { E } ( V )\) and \(\operatorname { Var } ( V )\).