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

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.

1. Show that the area under the curve is equal to 1.

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

3. Find P(X ≤ 1.6).

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