3. A random variable X takes values between 0 and 4 with a cumulative distribution function F(x) = for 0 sxS 4. (a) Sketch the cumulative distribution function. (b) What is P(X s 2)? (c) What is P(1sXS 3)? (d) Construct and sketch the probability density function. (e) What is the expected value of this random variable? (f) What is the median of this random variable? %3!

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