Question

matlab

Problem 6: The Matlab command 'randn(m,n) produces an m x n matrix of random numbers that are a realization of a white random process with some probability density function. Moreover, the Matlab command 'rand(m,n)' produces an mxn matrix of random numbers between 0 and 1 that are a realization of a white random process with some probability density function. a) Use Matlab to do the following steps: 1) Let u-randn (10000,1); and plot u. 2) Use the command 'mean(u)' to find the mean of u. 3) Use the command 'mean(u. 2)' to find the variance of u 4) Use the command 'histogram(u)' to plot the histogram of u, which can be considered as an approximation of the probability density function of the random process. What do you think is the type of the probability density function?

Answer 1

dispCal answer plot of u') u = randn(10000, 1): plot(u) disp('mean of u answer of question a2') mean(u) disp('variance of u answer of question a3') var = mean(u. ~2) disp(�Histogram') histogram(u) > > disp('al answer---plot of u') u = randn(10000, 1): plot(u) al answer---plot of u > > disp('mean of u answer of question a2') mean(u) mean of u answer of question a2 ans = 0. 0135 > > disp('variance of u answer of question a3') var = mean(u. ^2) variance of u answer of question a3 var = 1. 0156 f_x > >
PLOT of u

Histogram

So its a Normal type of probability density function as its shape is bell shape like in normal distribution.