5. Suppose that X is a continuous random variable with the following pdf with unknown k > 0: k(2 – 2x + x2) if 0 < x <3 f(x) = 0 otherwise (a) (4 points) Find the value of k so that f(x) is a pdf.
(b) (5 points) Use the pdf to find E(X).
(c) (6 points) Use the pdf and the previous part to find V(X).
5. Suppose that X is a continuous random variable with the following pdf with unknown k > 0: k(2 – 2x + x2) if 0 < x <3
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5. Suppose that X is a continuous random variable with the following pdf with unknown k > 0: k(2 – 2x + x2) if 0 < x <3
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