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Name: SID: 7. Suppose that g(x) =1 - x2 1[-1,1](x), and that f(x) = cg(x). (a) For exactly what value c is f(x) a PDF?

Name: SID: 7. Suppose that g(x) =1 - x2 1[-1,1](x), and that f(x) = cg(x). (a) For exactly what value c is f(x) a PDF? (b) If X is a random variable with PDF f, what is P(X

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