Likelihood of a combined datas

I have a combined dataset with 2n observations. The first n observations come from a normal distribution N(mu, 1) and the second part come from N(theta, 1). How do I compute the likelihood of a model that considers mu ≠ theta ? 

Thank you very much!

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  • Paul F Paul F
    +1

    Questions at this level should generally come with a bounty.

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