I am trying to construct a bimodal normal distribution from curve parameters like mean (two for two modes) and standard deviation (two). I wanted to know what are the other parameters required for this. Also if there's any specific equation to deal with such distributions.

I have tried adding two random normal distributions in matlab and it gives me a bimodal distribution. But I am not sure whether it is the best way to do it. This is because I also want to include the fraction/weight of each mode in the distribution (have no idea how to do it).

I am quite new to statistics and would really appreciate your suggestions.

Thank you very much for your help.

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