Question: Problem 3.1 The random variable X has the pf defined by f(x) = 5 x2 15 ; x = 2, 1, 0, 1, 2;

Problem 3.1 The random variable X has the pf defined by f(x) = 5 − x2 15 ; x = −2, −1, 0, 1, 2; f(x)=0 elsewhere. Compute:

(a) P(X ≤ 0)

(b) P(X < 0)

(c) P(X ≤ 1)

(d) P(X ≤ 1.5)

(e) P(|X| ≤ 1)

(f) P(|X| < 1)

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