4. Suppose that the probability mass function of the discrete random variable X is as follows: for x = 1, 2, 3, 4, 5, 6 f(x) = otherwise where c is a constant. a. What value of c will make f(x) a valid probability mass function ? b. Compute the cumulative distribution function, F(x). с. Compute P(1 < X < 6).

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