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Unformatted text preview: (a) Compute E [ X 3 ] (b) Show that Y = X 3 has a uniform(0,1) distribution. (c) Compute E [ Y ] and compate this result with the answer obtained in Part (a). 5. (1.9.4) If the E [ X 2 ] exists, show that E [ X 2 ] ≥ ( E [ X ]) 2 6. (1.9.8) Let X be a random variable such that E [( X-b )] exists for all real b . Show that E [( X-b ) 2 ] is minimized when b = E [ X ]. 1...
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This note was uploaded on 10/26/2010 for the course MATHCS Math 316 taught by Professor Dr.paulhorn during the Fall '10 term at Emory.
- Fall '10