Let be an exponential random variable with PDF, fx (x) = e zu(x) . (a) Find Pr

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Let be an exponential random variable with PDF, fx (x) = e –zu(x) .
(a) Find Pr (3X <5).

(b) Generalize your answer to part (a) to find Pr (3X <y) for some arbitrary constant .

(c) If we define a new random variable according to Y = 3X, then your answer to part ( b) is the CDF of Y,F_y(y) . Given your answer to part (b), find f_y(y).

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Probability and Random Processes With Applications to Signal Processing and Communications

ISBN: 978-0123869814

2nd edition

Authors: Scott Miller, Donald Childers

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Question Posted: Nov 19, 2015 11:53 PM

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Let be an exponential random variable with PDF, fx (x) = e zu(x) . (a) Find Pr

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Probability and Random Processes With Applications to Signal Processing and Communications

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