Question: Let X1,X2 be a random sample from a N(,2) distribution with and 2 unknown. Find the MLE of 2 if the only available information

Let X1,X2 be a random sample from a N(μ,σ2) distribution with μ and σ2 unknown. Find the MLE of σ2 if the only available information is that the difference between observations equals 3.

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