15. A random variable X has the PDF shown in the figure. (a) Find the value of the constant K. (b) Write a numerical expression for the CDF $F_X(x)$. (c) Sketch $F_X(x)$, labeling key points (d) Find the probability that X takes a value less than 3. (e) Find the expected value of X.
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Step 1: The total area under the PDF must be equal to 1. Show more…
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