題組內容
4. (10%) Let X₁, X₂, ... , Xₙ, Xₙ₊₁ be a sample from normal population having an unknown mean μ and variance 1. Let
be the average of the first n of them.
(a) What is the distribution of
? (5%)
4. (10%) Let X₁, X₂, ... , Xₙ, Xₙ₊₁ be a sample from normal population having an unknown mean μ and variance 1. Let
be the average of the first n of them.
(a) What is the distribution of
? (5%)