Problem 4 [10 marks]

Let Y exp(). Define the random variable X = Y + 1, where is the floor function. That is, X is a discrete random variable that takes the value k whenever k 1 Y

Problem 4 [10 marks] Let Y ~ exp()). Define the random variable X = [Y] + 1, where [.] is the floor function. That is, X is a discrete random variable that takes the value k whenever k - 1 _ Y