Suppose that X1, X2, X3 is a random sample from Gamma(3,) distribution with pdf (see the attached picture for complete question)

Problem B.4. Suppose that X1, X2, X3 is a random sample from Gamma(3,0) distri- bution with pdf f (x;0)- 1 203e-2/'x2, 0 0. Suppose that we are interested in testing Ho : 0 = 10 VS. H1 : 0 + 10. (a) Derive the likelihood ratio test procedure. (b) Determine the exact critical region if the level of significance is chosen to be 5%