Question: Question 4. (8 marks) Let X be an arbitrary continuous random variable that takes on possible values only in the interval [0, 5], i.e., fx

Question 4. (8 marks) Let X be an arbitrary continuous random variable that takes on possible values only in the interval [0, 5], i.e., fx (20) > 0, x E [0, 5] fx (2) = 0, else Let the random variable Y = g(X), where g( . ) is defined as (and plotted on the next page): u , -1

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