EE315 -121 Term Project 1. Starting from a uniform dist

EE315 -121
Term Project
1. Starting from a uniform distribution between (01).
Generate a sequence of Rayleigh distributed random variable. (parameters: a=0 b=1).
Generate a sequence of exponentially distributed random variable. (parameters: a=0 b=1)
Generate a sequence of Gaussian random variable. (parameters: a=0 )
2. Check the validity of the random variables generated in parts 1 by
i. normalized histogram and comparing it with the theoretical pdf.
ii. estimating the mean and variance and comparing it with the theoretical values.
3. Verify the central limit theorem (CLT):
for a set of sequences of independent identically distributed (i.i.d.) random variables. (use the Rayleigh r.v. generated in step 1)
for a set containing sequences of a mix of independent random variables.
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