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Problem 2. Consider a random variable X which has the distribution with the following prob- ability density function: 13(3) 0.5 3V (a) Show that the

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Problem 2. Consider a random variable X which has the distribution with the following prob- ability density function: 13(3) 0.5 3V (a) Show that the total probability is 1. (b) Find P(X g 2), P(2 g X g 3). (0) Draw the graph of the cumulative distribution function of X

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