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Suppose we know that the average height of Americans is 176cm with standard deviation of 6cm;...

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Basic Math

Suppose we know that the average height of Americans is 176cmwith standard deviation of 6cm; and that the average height ofAustralians is 181cm with standard deviation of 8cm. Suppose in aroom there are two individuals, who happen to be from the samecountry. We cannot hear their accents (so cannot guess in that waywhether they are Americans or Australians), but we know theseindividuals’ heights, which are 178cm and 180cm. Assume thatheights are normally distributed. Obtain the likelihood functions,and suggest the likely country of origin of these individuals.

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