2. A random variable X has range Rx = {1, 2, 3, 4, 5, 6} and probability mass function Px: Rx → [0, 1] given by Px(k)= Je 1≤k≤2 2c 3≤k≤ 6. (a) Find the value of c for which this is a valid probability mass function. (b) Find Pr[X ≥ 4]. (c) Find the expected value E[X].

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