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Unformatted text preview: f ( x ) = 12 x 2 (1-x ) , < x < 1, zero elsewhere. (c) f ( x ) = 1 2 x 2 e-x , < x < ∞ , zero elsewhere. 4. (1.7.14) Let X have the pdf f ( x ) = 2 x , 0 < x < 1, zero elsewhere. Compute the probability that X is at least 3 4 given that X is at least 1 2 . 5. (1.7.17) Divide a line segment into two parts by selecting a point at ran-dom. Find teh probability that the larger segment is at least 3 times the shorter. Assume the point is chosen uniformly. 6. (1.7.22) Let X have the uniform pdf f X ( x ) = 1 π for-π 2 < x < π 2 . Find the pdf of Y = tan( X ). This is the pdf of a Cauchy distribution . 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