Question: Problem 3. Consider a random variable X which has the distribution with the following cu mulative distribution function: F(a:) 1 0.5 0 1 2 3

Problem 3. Consider a random variable X which has the distribution with the following cu mulative distribution function: F(a:) 1 0.5 0 1 2 3 4 "5 (a) What information does the point (1, 0.5) convey? (b) The graph is at between the points x = 1 and a: = 2. What does it mean? (c) Find P(X 2 3), P(X 6 [1,3]). (d) Draw the graph of the probability density function of X

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