Question: 3.17 A continuous random variable X that can assume values between x = 1 and x = 3 has a density function given by f(x)

3.17 A continuous random variable X that can assume values between x = 1 and x = 3 has a density function given by f(x) = 1/2.

(a) Show that the area under the curve is equal to 1.

(b) Find P(2 < X < 2.5).

(c) Find P(X ≤ 1.6).

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