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Matlab codes need to be included. simulate the following random variables: expon

ID: 3878498 • Letter: M

Question

Matlab codes need to be included.

simulate the following random variables: exponential, normal, binomial, geometric, and Poisson. Specifically, for each type of distributions, write a program to generate a sequence of numbers that follow the distribution. In addition, plot the distribution of each random variable based on your simulation results. Below is a sample of what the simulations should look like.

uniform 0.2 Simulated distribution Real distribution - 0.15 0 6 uniform 0.8 0.6 0.4 +Simulated distribution Real distribution 0.2 4 6 8 9 10 2

Explanation / Answer

Below is the code to generate the specific distribution random numbers and plot those distribution.

% Binomial Distribution

n = 10:10:60; % Generating numbers

r1 = binornd(n,1./n); $ Generating binomial distibution numbers

y = binopdf(r1,10,0.5); % Generating the binomial pdf

plot(n,y); % plotting the binomial distribution

% Exponential distribution

% Normal distribution