Problem 3. Consider a random variable X which has the distribution with the following cu- mulative distribution function: F(:r) l 0.5 0 1 2 3 4 :1: (a) What information does the point (1, 0.5) convey? (b) The graph is at between the points x = 1 and :c = 2. What does it mean? (c) Find P(X 2 3), P(X 6 [1,3]). ((1) Draw the graph of the probability density function of X