Question: 4. The continuous random variable Z has E[Z]=3 and Var[Z]=9. Find the PDF, fz(2), and plot it using relevant MATLAB PDF functions, if: a. Z

4. The continuous random variable Z has E[Z]=3 and Var[Z]=9. Find the PDF, fz(2), and plot it using relevant MATLAB PDF functions, if: a. Z is an exponential RV b. Z is an uniform RV c. Z is an Erlang RV (Please define erlangpdf function according to Sec 4.8 on p.153 of the text) 5. X is the Gaussian (0,1) RV and Y is the Gaussian (-4,3) RV, where (1,0) refers to mean and standard deviation for the Normal distribution: a. Sketch the respective PDFs fx(x), and fry), on the same axes using MATLAB b. Find P[-2 1] 4. The continuous random variable Z has E[Z]=3 and Var[Z]=9. Find the PDF, fz(2), and plot it using relevant MATLAB PDF functions, if: a. Z is an exponential RV b. Z is an uniform RV c. Z is an Erlang RV (Please define erlangpdf function according to Sec 4.8 on p.153 of the text) 5. X is the Gaussian (0,1) RV and Y is the Gaussian (-4,3) RV, where (1,0) refers to mean and standard deviation for the Normal distribution: a. Sketch the respective PDFs fx(x), and fry), on the same axes using MATLAB b. Find P[-2 1]

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