Question: Problem 3 Suppose the pdf of a random variable X is f(x) = 3x2 for 0 } and P(X 2 m) > ?. 2. For

Problem 3 Suppose the pdf of a random variable X is

Problem 3 Suppose the pdf of a random variable X is f(x) = 3x2 for 0 } and P(X 2 m) > ?. 2. For any a E (-oo, co), please calculate the function g(a) = E(|X - al). 3. Show that m minimizes the function g(a). (Remark: m is called the population median.)

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