Lab 10 handouts

Student Name ___________________________ Student ID ___________________________________

Poisson and exponential distribution

Wikipedia has very informative articles on Poisson distribution and Exponential distribution.

An important fact to remember: The intervals between successive Poisson events follow the Exponential distribution.

Generate 100000 samples from a poisson distribution with $λ = 0.1$ . Use poissrnd to generate the samples. Find the mean and variance of the samples. Plot the CDF.
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Use the above samples to generate samples from exponential distribution. Find the mean and variance of the samples from the exponential distribution. Plot the CDF.
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Generate 10000 samples from exponential distribution with $λ = 0.3$ . Use exprnd function to generate the samples. Find the mean and variance of the samples. Plot the CDF.
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Now using the samples you generated from the exponential distribution in the last question to generate independent samples from Poisson distribution with $λ = 0.3$ . Find the mean and variance. Plot the CDF.
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