Question: The random variable x takes on the values 1, 2, and 3 with probabilities (1 + 3k) / 3, (1 + 2k) / 3, and

The random variable x takes on the values 1, 2, and 3 with probabilities (1 + 3k) / 3, (1 + 2k) / 3, and (0.5 + 5k) / 3, respectively. 
a) Find the appropriate value of k
b) Find the mean variance of x
c) Find the cumulative distribution function

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