Hw11 - (iii In each of the following cases sketch the pdf f Y y of Y = g X showing all relevant values(including discrete masses i.e δ-functions

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ENEE 324 ASSIGNMENT 11 Due Thu 10/15 Consider the transformation (function) y = g ( x ) = ( - 3 x + 3 , x < 2 - 3 , x 2 (i) (2 pts.) Sketch y = g ( x ). (ii) (6 pts.) In each of the following cases, determine the range S Y (of values) of the output random variable Y = g ( X ) based on the range of the input random variable X : S X = ( -∞ , ) S X = ( -∞ , 0] S X = [0 , 1] S X = (0 , 4) S X = Z (all integers) S X = N (all nonnegative integers)
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Unformatted text preview: (iii) In each of the following cases, sketch the pdf f Y ( y ) of Y = g ( X ), showing all relevant values (including discrete masses, i.e., δ-functions). • (3 pts.) X is uniform over [-1 , 0] • (3 pts.) X is uniform over [2 , 3] • (6 pts.) X is uniform over [0 , 4]...
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This note was uploaded on 03/21/2010 for the course ENEE 324 taught by Professor Ephrimedes during the Fall '05 term at Maryland.

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