Question: The random variable x takes on the values 1, 2, or 3 with probabilities (1 + 3k)/3, (1 + 2k)/3, and (0.5 + 5k)/3, respectively.

The random variable x takes on the values 1, 2, or 3 with probabilities (1 + 3k)/3, (1 + 2k)/3, and (0.5 + 5k)/3, respectively.
The random variable x takes on the values 1, 2,

(a) Find the appropriate value of k.
(b) Find the mean and variance of x.
(c) Find the cumulative distribution function.

(1+3k)/3; x-1 (1+2k)/3; x 2 (0.5+5k)/3; x 3 0; otherwise p(x)

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