A random sample x = (x 1 ,x 2 ,...,x m ) is available from an N(,) distribution and a second independent random sample y

A random sample x = (x₁,x₂,...,x_m) is available from an N(λ,ϕ) distribution and a second independent random sample y (y₁, y₂,..,Y_n) is available from an N(µ,2ϕ) distribution. Obtain, under the usual assumptions, the posterior distributions of λ - µ and of ϕ.