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can you pls help in solving the following question for random variables:

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Generate 10 uniform random variables within the range 0 and 2 and evaluate their sum and sketch the pdf for resulting random variable
&
Generate 10 exponential random variable with lambda=2 and evaluate their sum.

Accepted Answer

Image Analyst
Image Analyst on 5 Aug 2016
Edited: Image Analyst on 5 Aug 2016
For the first question on uniform numbers, see the help for rand() - the answer is one of the examples.
For sketching the PDF, see histogram(), particularly the 'pdf' option.
for the exponential numbers, see the help for random() in the Statistics and Machine Learning Toolbox, if you have that. Exponential is one of the distributions you can select.

More Answers (1)

Jan Jarosz
Jan Jarosz on 5 Aug 2016
Edited: Walter Roberson on 5 Aug 2016
u = 2*rand(10,1);
usum = sum(u); %uniform rv
lambda = 2;
e = exprnd(1/lambda,10,1);
esum = sum(e);%exponential rv
The pdf will always be f(x)=0.5, 0<x<2 for the uniform distribution and 2*exp(-2*x) for the exponential distribution. You can plot histograms with hist(u) and hist(e)

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