Let Y be normally distributed with mean μ and variance σ^2.
a. Let φ=μ+(σ^2/2) Find the maximum likelihood estimate for φ
b.Assume the sample size n is large, obtain an asymptotic 95% condence interval for φ
c.Let X = e^Y and X is distributed as lognormal with mean μx = e^φ . Based on the result in part (b), obtain an asymptotic 95% confidence interval for X.