If show that (a) E X 2n 1 middot 3 middot 5 middot middot middot (2n 1) Iuml 2n , for n 1,2, (b) E X 2n 1 0 for n 1,2, fx(x) (2 ') exp 22...

a The integral evaluates as follows where y x 2 12 ...

If show that (a) E[X 2n ] = 1 · 3 · 5 ··· (2n - 1)

Question:

fx(x) -(2π σ') exp 2σ2

show that

(a) E[X²ⁿ] = 1 · 3 · 5 ··· (2n - 1) Ïƒ²ⁿ, for n = 1,2,...

(b) E[X^2n-1] = 0 for n = 1,2,...

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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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If show that (a) E[X 2n ] = 1 · 3 · 5 ··· (2n - 1)

Question:

fx(x) -(2π σ') exp 2σ2

Step by Step Answer:

a The integral evaluates as follows where y x 2 12 ...View the full answer

Principles of Communications Systems, Modulation and Noise

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