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X1, X2, X3, . . . , Xn is a normal distribution with a mean µ...

X1, X2, X3, . . . , Xn is a normal distribution with a mean µ and variance σ2 which is from a random sample from a population

  1. if σ2 is known, what is the maximum likelihood estimation of μ2
  2. does the maximum likelihood estimation of μ2 found in question 1 satisfy unbiasedness? If not, what is the bias?
  3. does the maximum likelihood estimation of μ2 found in question 1 satisfy consistency?
Math   Statistics-And-Probability   
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