L(μ)
15
20
25
a. Given the likelihood function above, what is the MLE of μ?
b. The given likelihood function in fact is that of a random sample of
3 observations (X = 17, 22, and 18) from a normal population
σ = 6 and unknown mean µ. What principle does your answer
therefore illustrate?
*c. Using a computer and the formula (4-26) for the normal distribution,
verify that the graph above really does represent the likelihood
function of part b.