Question: Let X be a random variable. If m is a positive integer, the expectation E[(X b) m ], if it exists, is called the

Let X be a random variable. If m is a positive integer, the expectation E[(X − b)^m], if it exists, is called the mth moment of the distribution about the point b. Let the first, second, and third moments of the distribution about the point 7 be 3, 11, and 15, respectively. Determine the mean μ of X, and then find the first, second, and third moments of the distribution about the point μ.

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