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.
(a) Show that P(V = 1) = 21/44 . (3 marks)
(b) Find the probability distribution of V. (4 marks)
(c) Find E(V) and Var(V). (6 marks)