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1. Consider the probability mass function below: x - 1 f(x) = ; x = 1,2,3,4 or 5 k 0 ; otherwise a. Solve for

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1. Consider the probability mass function below: x - 1 f(x) = ; x = 1,2,3,4 or 5 k 0 ; otherwise a. Solve for the value of k for the probability mass function to be legitimate. b. Construct its probability distribution (table) c. Construct its probability histogram. d. Solve for the expected value and variance of the random variable X

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