A random variable X has the pdf f X (x) = Ae -bx [u(x) - u(x -

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A random variable X has the pdf

f_X(x) = Ae ^-bx [u(x) - u(x - B)]

where u(x) is the unit step function and A, B, and b are positive constants.

(a) Find the proper relationship between the constants A,b, and B. Express b in terms of A and B.

(b) Determine and plot the cdf.

(d) Determine E(X²).

(e) What is the variance of X?

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Principles of Communications Systems, Modulation and Noise

ISBN: 978-8126556793

7th edition

Authors: Rodger E. Ziemer, William H. Tranter

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Question Posted: Sep 19, 2018 01:05 PM

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A random variable X has the pdf f X (x) = Ae -bx [u(x) - u(x -

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a A 1 e bB 1 b The cdf is 0 for x 0 and 1 for x B For ...View the full answer

Principles of Communications Systems, Modulation and Noise

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