Question: 2. The random variable X has the following probability distribution: x 2 3 5 8 Probability 0.2 0.4 0.3 0.1 Determine the following: (a) Find

2. The random variable X has the following probability distribution: x 2 3 5 8 Probability 0.2 0.4 0.3 0.1 Determine the following: (a) Find the probability mass function (pmf) (b) Find the cumulative distribution function (cdf) (c) P(X 2) = (d) P(X 3) = (e) P(X = 4) = (f) E(X) (g) V(X) (h) E(10X + 2) (i) V(10X + 2)

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