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QUESTION 5 a) Give TWO (2) characteristics of discrete random variable. (2 marks) b) A book seller sells a special educational book package that consists of five books per package. A customer can purchase the whole set of five books or each book individually The probability distribution of Y, the number of books purchase from each package, is given as follow. m 4 5 P ( Y = y) 0.45 0.15 0.15 0.251) Given that E(Y) = 2.75, find the values of m. (3 marks) i) Find the probability that a customer purchase at most four books, (2 marks) lii) Calculate E (Y - 2Y + 2). (4 marks)