MATLAB: How am I to generate random numbers with exponential distribution applied

Question

How to generate random numbers with the exponential distribution applied, and also given a minimum value of 0.5, and a lambda of 0.2?

Answer 1

pd = makedist('Exponential','mu', 0.2);
r=0.5+random(pd)

but this gives you values with 0.5 + a random number if you want just the numbers that are bigger than 0.5 do this:

pd = makedist('Exponential','mu', 0.2);
r=0;
while r<0.5
r=random(pd);
end