Suppose that x1xn form a random sample from a normal

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Suppose that X1...Xn form a random sample from a normal distribution with mean=u (u pronounced mu) and variance=1.

A) Write down the probability density function for normal(u,1)

B) Write down the likelihood function of u,L(u)

C) Write down the logarithm of the likelihood function of u, LogL(u)

D) Calculate first derivative of logL(u)

E) Find MLE of u

F) Find method of moments estimator of u.

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