(1) Θ|X ~N(169,112) , so the 95% HDR for this distribution is [169-1.96*11,169+1.96*11], that is[147.44,190.56]
(2)
If l(θ|x) ∞exp{1/-2φ*(x-θ)2} ,for different data ,the shapes of the likelihood function are
We can see the shapes are same ,but the locations are changed.
Let φ = 1/θ, the shapes of l(φ|x) are
