Letbe a pdf which is defined as follows,for constants(a) Verify that p(tetha) is actually a pdf by verifying that(b) Consider the family of probabilit

Letbe a pdf which is defined as follows,for constants(a) Verify that p(tetha) is actually a pdf by verifying that(b) Consider the family of probability distributions that can be represented by a pdf p(tetha) having the given form for all possible pairs of constants. Show that this family is a conjugate family of prior for samples from a normal distribution with a known value of the meanand an unknown value of the variance.