5. Suppose that X is a continuous random variable with the following pdf with unknown k > 0: ſk(2 – 2x + x2) if 0 5.253
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5. Suppose that X is a continuous random variable with the following pdf with unknown k > 0: ſk(2 – 2x + x2) if 0 5.253
5. Suppose that X is a continuous random variable with the following pdf with unknown k > 0: ſk(2 – 2x + x2) if 0 5.253 f(0) = 2 0 otherwise (a) (4 points) Find the value of k so that f(2) 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).
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