Question: 1. Suppose that the p.d.f. of a random variable X is f(x) = 2e2x for x > 0. Determine the following probabilities: (a) P(X >4),

1. Suppose that the p.d.f. of a random variable X is f(x) = 2e−2x for x > 0. Determine the following probabilities:

(a) P(X >4),

(b) P(X <5),

(c) P(2 < X < 7),

(d) P(X = 5).

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