Question: 30. Let a random variable be distributed as shown below. X = x 0 1 2 3 4 5 6 p(x) 0.1 0.09 0.2 0.15

30. Let a random variable be distributed as shown below.

X = x 0 1 2 3 4 5 6 p(x) 0.1 0.09 0.2 0.15 0.16 0.2

(a) Find the probability p(6).

(b) Find the probability P(3 ≤ X ≤ 5).

(c) Find the probability P(X ≤ 4).

(d) Find the probability P(X >2).

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