How to genarate a random variable in matlab with density function f(x)=x/2 for 0<=x<=2 and f(x)=0 otherwise

I am new to matlab and want to generate a random variable that has probability density function as

f(x)=x/2 ,0<=x<=2 0 ,otherwise

I understand that given pdf is not already defined in matlab .

Answer 1

[Star Strider]

This seems to work:

pdfx = @(x) 2*sqrt(x);           % Define PDF
x = rand(1,100000);             % Generate Random ‘x’
px = pdfx(x);                   % Generate Data

bins = linspace(0,2,100);       % Define ‘bins’ For ‘histc’
pdx = histc(px,bins);           % Histogram

figure(1)
bar(bins, pdx/sum(pdx))         % Plotted Histogram