# Math Help - a mixture distribution norm and exp, help!

1. ## a mixture distribution norm and exp, help!

I use matlab to create a mixture distribution norm and exp.
the pdf and cdf are defined:
pdf_mixture = @(x,p,mu1,mu2,sigma1)p*normpdf(x,mu1,sigma1) + (1-p)*exppdf(x,mu2);
cdf_mixture = @(x,p,mu1,mu2,sigma1)p*normcdf(x,mu1,sigma1) + (1-p)*expcdf(x,mu2);

and this is the graph from the functionleft)
but this is not the goal, the goal looks like thisright)

how can i change the pdf or cdf to get the required graph.the exponential distribution should be lower than the normal distribution.

2. ## Re: a mixture distribution norm and exp, help!

Hey jeffhimmel.

You might want to look at a mixture model with a Weibull distribution:

Weibull distribution - Wikipedia, the free encyclopedia