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Suppose we have two populations (I and II) and that variable X is known to be distributed N(10,2)…

Suppose we have two populations (I and II) and that variable X is known to be distributed N(10,2) on population I and distributed N(8, 3) on population II. A sample (X1…….Xn) is generated from one of the populations; you are not told which population the sample came from, but you are required to draw inferences about the true distribution based on the sample. Describe the statistical model for this problem. Could you parameterize this model by the population mean, by the population variance? Sometimes problems like this are called classification problems because making inferences about the true distribution is equivalent to classifying the sample as belonging to one of the populations.