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Question from ECE QE CS Q1 August 2000

A RV is given by $ \mathbf{Z}=\sum_{n=0}^{8}\mathbf{X}_{n} $ where $ \mathbf{X}_{n} $ 's are i.i.d. RVs with characteristic function given by $ \Phi_{\mathbf{X}}\left(\omega\right)=\frac{1}{1-j\omega/2}. $

(a) Determine the characteristic function of $ \mathbf{Z} $ .

(b) Determine the pdf of $ \mathbf{Z} $ . You can leave your answer in integral form.

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Solution 1 (retrived from here)


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