Stats Help

Textbook: Tamhane, A. and Dunlop, D., 2000. Statistics and data analysis: from elementary to intermediate(Pearson). [ISBN-13: 978-0137444267; ISBN- 10: 0137444265]

Section 2.10 Problems 2.87 Let X], Xzbe independent N(0,1) r.v.'s. (a) Find the joint distribution of Y1 = X1/ X2 and Y2 = X2. (b) Show that Y1 has a Cauchy distribution whose p.d.f. is given in Exercise 2.85. Exercise 2.85 Show that if X has a U[-1t /2, 7t/2] distribution then Y = tan(X) has a Cauchy distribution, whose p.d.f. is given by foroo