2. A random variable X takes values between 4 and 6 with a probability density function f(x) = for 4 < x< 6 and ƒ(x) = 0 elsewhere. (a) Check that the total area under the probability density function is equal to 1. (b) What is P(4 < x< 5)? (c) Construct the cumulative distribution function. xln(1.5)

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