III. DISCRETE PROBABILITY DISTRIBUTION (3 A certain random variable has the following probability distribution function. (x² + 16 200 48-3x 200 x € {1,2,3] x € (4,5) a. Construct a probability distribution table for the given probability distribution function. b. Construct a probability histogram for the probability distribution table. c. Compute for the mean, variance, and standard deviation. f(x) = {

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